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trinomials

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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.
Expanding (x+2)(x+3) 2005-03-23
Rick pose la question :
The problem involves writing expressions, one in factored form and one in expanded form, for the area of a rectangle of sides x+2 and x+3. We've gotten as far as area = (x+2)(x+3). But I can't come up with the other expression.
Penny Nom lui répond.
Factoring expressions 2004-01-03
A student pose la question :

I'm having trouble factoring expressions that aren't monic. I can do things like x2-9x+8, but problems like 12x2+5x-3 have me stumped.

I also have a question about factoring out common factors. In a problem like x2-18x+81, wouldn't you divide by 9? But what happens to the x2, is it x2/9?
Penny Nom lui répond.

Factoring trinomials that are squared 2000-04-17
A student pose la question :
I have a question that I really need an answer to. I need help with factoring trinomials that are squared.
Penny Nom lui répond.
 
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