Multiplying and Dividing Rational Expressions

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hollerback1

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Dec 21, 2005
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Hi, I have a quiz on this homework and I'm having trouble on one of the problems.

here it is: x^2+8x+16
-------------------- * x^2+8x+16
x^3+10x^2+32x+32

Please respond as soon as you can, thanks.
 
Your question isn't typed properly. Did you look at it before you hit submit?
 
MULTPLYING AND DIVIDING RATIONAL help omgzzzz

Hi, I have a quiz on this homework and I'm having trouble on one of the problems.

here it is:

x^2+8x+16 / x^3+10x^2+32x+32 * x^2+8x+16

Please respond as soon as you can, thanks.
 
hints ...

x<sup>2</sup>+8x+16 = (x+4)<sup>2</sup>

x<sup>3</sup>+10x<sup>2</sup>+32x+32 = (x+2)(x+4)<sup>2</sup>
 
x^3+10x2+32x+32 = (x+2)(x+4)^2

Hmmm... I know how to do squared variables.

But I don't get how to do that problem up there. How did you get (x+2) and (x+4)^2?
 
How did you get (x+2) and (x+4)^2?
Click to expand...

rational root theorem ... found that x = -2 is a root of the cubic using synthetic division ... the process also gave me the depressed polynomial x<sup>2</sup>+8x+16 ... rest was downhill from there.
 
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