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polynomials

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3 over "x" plus 5 2015-02-23
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.
Two quadratic polynomials 2014-10-28
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.
Multiplying binomials 2012-05-14
Jordan pose la question :
How do I solve the equation:
3(x+4)(x-6)

Penny Nom lui répond.
A quartic polynomial that is a perfect square 2012-02-05
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.
Factoring with fractions 2011-02-15
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.
Identify each polynomial by its degree and number of terms 2011-01-10
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.
A fourth degree polynomial function with real coefficients 2010-10-30
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.
Factors and zeros of a polynoial 2010-03-17
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.
Four dots are randomly placed on an 8x8 grid 2010-02-26
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.
Coefficients 2009-11-17
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.
The roots of a polynomial 2009-11-03
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.
The zeros of a polynomial 2009-09-25
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.
Fourth and fifth degree polynomials 2009-08-20
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.
Multiplication of polynomials 2009-04-07
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.
Leading terms and leading coefficients 2009-03-31
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.
Primes and polynomials 2008-11-24
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.

A question about primes and polynomials 2008-11-16
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.
Factoring x^2 + 729 2008-08-19
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.
Polynomial division and remainders 2008-07-02
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.
A polynomial equation 2008-04-18
Joan pose la question :
Find all polynomials P(x) satisfying x^2P(x) + P(1-x) = 2x-x^4
Harley Weston lui répond.
5x^2 - 45 2008-02-11
Tiana pose la question :
factor: 5x^2 - 45
Stephen La Rocque lui répond.
Imaginary roots 2007-12-09
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.
6(x-1)-3(x+1)-12=56+5x 2007-10-24
Megan pose la question :
6(x-1)-3(x+1)-12=56+5x
Penny Nom lui répond.
(5C squared + 14C + 11) divided by (5C + 4) 2007-09-20
John pose la question :
(5C squared + 14C + 11) divided by (5C + 4)
Harley Weston lui répond.
What is the inverse function of y=x^3 +x? 2007-09-19
saman pose la question :
what is the inverse function of y=x^3 +x
Harley Weston lui répond.
Cubic polynomials 2007-08-14
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.
A matrix of polynomials 2007-07-18
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.
A polynomial with integer coefficients 2007-06-20
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.
Simplifying a quartic rational expression using long division 2007-06-14
Megan pose la question :
x+2/12x^4+17x^3+0x^2+8x-40=
Stephen La Rocque and Penny Nom lui répond.
Rational polynomial expressions 2007-06-09
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.
The lcm of polynomials 2007-05-31
devin pose la question :
x^3-8 , x^3-4, x^2+4x+4
Penny Nom lui répond.
Division of polynomials 2007-04-14
Rajendra pose la question :
Find the remainder when x3+3x+1 is divided by x+pi
Penny Nom lui répond.
Factoring polynomials 2007-02-14
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.
Multiplication of polynomial 2007-02-09
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.
x^2+2x-3 is a factor f(x)=x^4+2x^3-7x^2+ax+b 2006-04-06
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.
X^2 + 4X + 6 is a factor of X^4 + rX^2 + s 2006-02-11
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.
A graph with certain properties 2004-11-22
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.
Polynomials 2004-01-25
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:

  1. why must n be positive?
  2. what are some historical facts about the evolution of the definition?

Harley Weston lui répond.
Polynomials degree 4 and bigger 2003-06-26
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.
The HCF and LCM of polynomials 2003-05-20
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. 1-x2 and x3 -1
  2. 1 - x2 and x4 - 1

Penny Nom lui répond.
The factor theorem 2002-09-10
Yael pose la question :
Prove (x - a - b) is a factor of x3 - a3 - b3 - 3ab (a + b)
Penny Nom lui répond.
A polynomial 2002-06-05
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.
A degree 5 polynomial 2002-02-17
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.
Dividing polynomials 2001-02-19
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.
Polynomials and exponents 2001-01-15
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.
Subtracting polynomials 2000-05-13
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.
polynomial functions 1999-11-19
Quinn pose la question :
  1. 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

  2. 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.
Question about 3rd degree polynomials 1999-04-23
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.

Factoring polynomials 1999-03-29
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.
The Factor Theorem 1998-01-18
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.

Polynomials 1998-01-13
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.

Polynomials 1997-10-07
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.

Roots of a Polynomial 1996-12-06
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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