53 articles trouvés pour ce sujet.
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3 over "x" plus 5 |
2015-02-23 |
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Kenny pose la question : 3 over "x" plus 5. I don't know this is either a polynomial and if so how would you define it. Harley Weston lui répond. |
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Two quadratic polynomials |
2014-10-28 |
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khushboo pose la question : The zeroes of a quadratic polynomial x^2+ax+b are 'c' and 'd'
and the zeroes of a quadratic polynomial x^2+cx+d=0 are 'a' and 'b'.
find the numerical value of a+b+c+d where a, b, c and d are non zero integers. Penny Nom lui répond. |
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Multiplying binomials |
2012-05-14 |
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Jordan pose la question : How do I solve the equation:
3(x+4)(x-6) Penny Nom lui répond. |
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A quartic polynomial that is a perfect square |
2012-02-05 |
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archit pose la question : If P(x)=x^4+ax^3+bx^2-8x+1 is a perfect square then (a+b)=? Penny Nom lui répond. |
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Factoring with fractions |
2011-02-15 |
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Megan pose la question : Hi there,
I'm working on factoring polynomials but this question has me quite puzzled.. im a college student in my first year.
(x^2-a^2/xy)(xy/x+a) Penny Nom lui répond. |
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Identify each polynomial by its degree and number of terms |
2011-01-10 |
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betty pose la question : Write in standard form and identify each polynomial by its degree and number of terms. How do you do this? Penny Nom lui répond. |
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A fourth degree polynomial function with real coefficients |
2010-10-30 |
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Ryan pose la question : Question from Ryan, a student:
What is the fourth degree polynomial function with real coefficients
that has -1,1 and I as zeros and such that f(x)=160 Harley Weston lui répond. |
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Factors and zeros of a polynoial |
2010-03-17 |
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Susan pose la question : find a polynomial function of degree three with -3 as a zero of multiplicity 2 and 4 as a zero of multiplicity 1. Tyler Wood lui répond. |
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Four dots are randomly placed on an 8x8 grid |
2010-02-26 |
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bobbym pose la question : Four dots are randomly placed on an 8x8 grid, compute the probability
that no row or column contains more than one dot. Claude Tardif lui répond. |
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Coefficients |
2009-11-17 |
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Da'mon pose la question : The Coefficients of the expression 8 - 5x - 4 + 3x are 5 and 3
Whether the statement is true or false. Penny Nom lui répond. |
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The roots of a polynomial |
2009-11-03 |
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Jess pose la question : Find the value of a positive integer k such that f(x)=x^2 - 2kx + 55 has roots at k +3 and k - 3. Penny Nom lui répond. |
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The zeros of a polynomial |
2009-09-25 |
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jordan pose la question : find a polynomial of lowest degree with only real coefficients and having the given zeros.
1+2i, 2 (multiplicity 2) Penny Nom lui répond. |
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Fourth and fifth degree polynomials |
2009-08-20 |
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Evin pose la question : hello.i am a student . ax^4+bx^3+cx^2+dx+e=0 x=? i want to learn the solution or formula of equations of the fourth and fifth degree...PLEASE Robert Dawson lui répond. |
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Multiplication of polynomials |
2009-04-07 |
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Carla pose la question : I am struggling to understand Multiplication of Polynomials. No matter how hard I try to understand Multiplication of Polynomials, I just can't get it!
The problem that I am trying to solve is this :
-3x^3y(-y + 2 -x^2 + x) Robert Dawson lui répond. |
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Leading terms and leading coefficients |
2009-03-31 |
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Susan pose la question : Write the polynomial P(x)=x^3-3x^4+17x+11-4/3x^2 in descending order. Identify the leading term and the leading coefficient. Penny Nom lui répond. |
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Primes and polynomials |
2008-11-24 |
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Andrew pose la question : How effective are the two
pairs of polynomials, taken together, at "excluding" any prime p.
1. (a^2 - a.b + b^2) and (a^2 + a.b + b^2) Where b > a > p and (a, b, p) = 1
2. (c^2 - c.a + a^2) and (c^2 - c.b + b^2) Where c > b > a > p and (a, b, c, p) = 1 Victoria West lui répond. |
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A question about primes and polynomials |
2008-11-16 |
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Andrew pose la question : Is it possible for (a^2 - a.b + b^2) to be divisible by a prime p where
b > a > p and a, b, and p are relatively prime? I let a = n.p + x and
b = m.p + y (where both x and y are < p) and after dividing throughout
by p one gets to decide whether (x^2 - x.y + y^2) ==0 mod(p) ?! It seems
unlikely unless p = (x^2 - x.y + y^2)? (Note:- All letters represent positive
integers.) Chris Fisher and Victoria West lui répond. |
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Factoring x^2 + 729 |
2008-08-19 |
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peter pose la question : hello I,am having trouble factorising a polynomial into polynomial factors
with real coefficients please can you help the polynomial is x^2+729 Harley Weston lui répond. |
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Polynomial division and remainders |
2008-07-02 |
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RAM pose la question : If the polynomial x4-6x3+16x2-25x+10 is divided by another polynomial x2-2x+k, the remainder
comes out to be x+a. Find k and a. Janet Cotcher and Harley Weston lui répond. |
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A polynomial equation |
2008-04-18 |
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Joan pose la question : Find all polynomials P(x) satisfying x^2P(x) + P(1-x) = 2x-x^4 Harley Weston lui répond. |
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5x^2 - 45 |
2008-02-11 |
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Tiana pose la question : factor:
5x^2 - 45 Stephen La Rocque lui répond. |
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Imaginary roots |
2007-12-09 |
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Josh pose la question : What is the correlation between imaginary roots (of a quadratic or other
polynomial equation) and the graph of the equation? As in, how can one
represent imaginary solutions graphically (and why does that work)? Harley Weston lui répond. |
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6(x-1)-3(x+1)-12=56+5x |
2007-10-24 |
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Megan pose la question : 6(x-1)-3(x+1)-12=56+5x Penny Nom lui répond. |
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(5C squared + 14C + 11) divided by (5C + 4) |
2007-09-20 |
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John pose la question : (5C squared + 14C + 11) divided by (5C + 4) Harley Weston lui répond. |
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What is the inverse function of y=x^3 +x? |
2007-09-19 |
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saman pose la question : what is the inverse function of y=x^3 +x Harley Weston lui répond. |
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Cubic polynomials |
2007-08-14 |
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Jalon pose la question : The cubic function f(x) = (x+2)^3 touches the x axis only once at x = -2 (negative two). it could also be written as f(x) = (x+2)(x+2)(x+2)
Investigate the cubic functions below as well as the one above and comment clearlt and fully on where they touch/intersect the x axis, and how these points relate to the given function.
a) f(x) = (x – 3)(x +4)(x – 2)
b) f(x) = x(x + 1)^2 (^2 = that means it squared)
Your comments should reference graphs illustrating your conclusions and display another 2 trinomial graphs that demonstrate your conclusions. particular attention should be given to the number of times your function crosses or touches the X axis.
i dont know how this works but could you send the answer to..... spongy_91@hotmail.com Stephen La Rocque lui répond. |
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A matrix of polynomials |
2007-07-18 |
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Mac pose la question : can you please help me out to solve this ?
Let A be a n*n matrix, the elements of which are real (or complex) polynomial in x.
If r rows of the determinant becomes identical when x=a, then the determinant
A) has a factor of order r
B) has a factor or order > r
C) has no factor
D) has a factor of order < r Harley Weston lui répond. |
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A polynomial with integer coefficients |
2007-06-20 |
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Krys pose la question : How do I find a polynomial P(x) with integer coefficient that has degree 4 and zeros 1-2i and 1 (with multiplicity of 2)? Penny Nom lui répond. |
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Simplifying a quartic rational expression using long division |
2007-06-14 |
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Megan pose la question : x+2/12x^4+17x^3+0x^2+8x-40= Stephen La Rocque and Penny Nom lui répond. |
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Rational polynomial expressions |
2007-06-09 |
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a student pose la question : I have a question that continues to lead me to the answer x/(x - 1) but according to my math book, the answer should be 1/(x - 1).
Who is right? Who is wrong?
Here is the question:
(x^2 - 6x - 27)/(x^2 - 11x + 18) DIVIDED by (x^3 + 2x^2 - 3x)/(x^2 - 2x) Stephen La Rocque lui répond. |
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The lcm of polynomials |
2007-05-31 |
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devin pose la question : x^3-8 , x^3-4, x^2+4x+4 Penny Nom lui répond. |
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Division of polynomials |
2007-04-14 |
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Rajendra pose la question : Find the remainder when x3+3x+1 is divided by x+pi Penny Nom lui répond. |
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Factoring polynomials |
2007-02-14 |
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Joe pose la question : I am in the eighth grade, and we are learning the equivalent of Algebra 2. I have no ides how to factor (x-2)(x^2-1)-6x-6 You help is most aprreciated. Thank you! Joe Stephen La Rocque lui répond. |
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Multiplication of polynomial |
2007-02-09 |
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John pose la question : hello.. i just want to ask how can i solve this?? (2x+3)(6x+8) Steve La Rocque, Penny Nom and Brennan Yaremko lui répond. |
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x^2+2x-3 is a factor f(x)=x^4+2x^3-7x^2+ax+b |
2006-04-06 |
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Maha pose la question : Given that x2+2x-3 is a factor f(x)=x4+2x3-7x2+ax+b, find a and b and hence factor f(x) completely. Penny Nom lui répond. |
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X^2 + 4X + 6 is a factor of X^4 + rX^2 + s |
2006-02-11 |
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Katie pose la question : If X2 + 4X + 6 is a factor of X4 + rX2 + s, then find the value of r+s? Steve La Rocque and Penny Nom lui répond. |
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A graph with certain properties |
2004-11-22 |
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A student pose la question : i was asked as a question in coursework to sketch the graph with the following characteristics:
a double root at -3
a pair of imaginary roots
an x-intercept at 6
a root at 4 which is not a double root Penny Nom lui répond. |
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Polynomials |
2004-01-25 |
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Bruce pose la question :
A polynomial is defined as
Polynomial functions are functions that have this form:
f(x) = anxn + an-1xn-1 + ... + a1x + a0
The value of n must be an nonnegative integer. That is, it must be
whole number; it is equal to zero or a positive integer.
The coefficients, as they are called, are an, an-1,
..., a1, a0. These
are real numbers.
Questions:
- why must n be positive?
- what are some historical facts
about the evolution of the definition?
Harley Weston lui répond. |
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Polynomials degree 4 and bigger |
2003-06-26 |
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Stephen pose la question :
How do I show kids how to find all the zeros for polynomials degree 4 and bigger.
For examples: r(x) = x5-11x3-7x2+77 = (x2-11)(x3-7) and s(x) = x4-121 = (x2-11)(x2+11) Also am I correct when I say that the following are irreducible? f(x) = x2-11 g(x) = x3-7 h(x) = x4-5 Harley Weston lui répond. |
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The HCF and LCM of polynomials |
2003-05-20 |
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Charanpal pose la question :
Question: Find the HCF and LCM of the polynomials given below. Verify that he productof these HCF and LCM differs from the product of the polynomials, if at all, by a factor of -1 - 1-x2 and x3 -1
- 1 - x2 and x4 - 1
Penny Nom lui répond. |
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The factor theorem |
2002-09-10 |
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Yael pose la question : Prove (x - a - b) is a factor of x3 - a3 - b3 - 3ab (a + b) Penny Nom lui répond. |
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A polynomial |
2002-06-05 |
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Melissa pose la question : I'd like to know what is a polynomial( the definition and an explication)? And is 7x a polynomial? and why? Penny Nom lui répond. |
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A degree 5 polynomial |
2002-02-17 |
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Carla pose la question : Write an equation for a polynomial of degree 5 given the following zeros: -7+3i, -2+sqrt(13), 6 Penny Nom lui répond. |
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Dividing polynomials |
2001-02-19 |
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Janna pose la question : I have two questions involving dividing polynomials by polynomials. Here's the first one: Two factors of 12a4 -39a2 + 8a - 8a3 + 12 are a - 2 and 2a + 1. Find the other factors. The other question I'm stuck on is: When 10x3 + mx2 - x + 10 is divided by 5x-3, the quotient is 2x2 + nx - 2 and the remainder is 4. Find the values of m and n. Penny Nom lui répond. |
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Polynomials and exponents |
2001-01-15 |
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A student pose la question : I am duing a project in math on polynomials and exponents. I need a real life usage of polynomials and exponents for my project. Penny Nom lui répond. |
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Subtracting polynomials |
2000-05-13 |
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Teresa pose la question : I am suppose to subtract the lower polynomial from the one above it. -3a+11b+2f -3a- 6b+8f ________________ Penny Nom lui répond. |
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polynomial functions |
1999-11-19 |
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Quinn pose la question :
- Without fully factoring the following show that they all have the same zeros:
I: x4-x2+2x+6 II: -x4+x2-2x-6 III: -4x4+4x2-8x-24 IV: 10x4-10x2+20x+60 - When P(x)=x3-3x2+5x+1 and G(x)=x3-2x2-x+10 are each divided by(x-a) the remainders are equal. At what coordinate point does the graph of P(x) intersect G(x)?
Walter Whiteley lui répond. |
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Question about 3rd degree polynomials |
1999-04-23 |
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Patrick Bryan pose la question : What is the general solution to the equation with the form: a*x^3 + b*x^2 + c*x + d = 0 I have once seen a solution to this a few years ago, but I do not recall if it was a general solution. What I do know, is that you could simplify this equation to: a*x'^3 + p*x' + q = 0... Doug Farenick lui répond. |
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Factoring polynomials |
1999-03-29 |
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Karen pose la question : I have been unable to factorise a polynomial equation and was wondering if you could please help. It is level (10-12) maths. The polynomial is x3 + x2 - 24x + 36 I have tried a few factorisation methods such as foctorisation by grouping but it won't work this polynomial. Please help. Jeff Walters and Jack LeSage lui répond. |
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The Factor Theorem |
1998-01-18 |
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Dhruv Bansal pose la question : Hi, I'm a ninth grade student doing a math project for school. I'm trying to learn about various ways of solving 3rd and 4th degree polynomial equations using the remainder theorem, the factor theorem, and synthetic division. The books I have all mention x - r, which I know nothing about, not even how to get it. I would really appreciate any information on this. Thanks. Dhruv Bansal Penny Nom lui répond. |
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Polynomials |
1998-01-13 |
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Sarah Storkey pose la question : Hi, My name is Sarah, My question is at the junior level. My question is, what is a polynomial? Harley Weston lui répond. |
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Polynomials |
1997-10-07 |
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Sheryl and Jeff pose la question : I'm a math teacher in Jerusalem, Israel. I'm teaching about graphing polynomial functions in a pre-calc class. A student asked me what they're good for. I couldn't give her a good example. Do you have one. Thanks. Penny Nom lui répond. |
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Roots of a Polynomial |
1996-12-06 |
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Paula Miller pose la question : Why is the solution called a "root"? Why not just the "x-intercepts"? Chris Fisher and Harley Weston lui répond. |
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