How do you divide and simplify x2+9x−22x2+12x+11÷2x2−4x−63x2−3?

1 Answer
graces
May 6, 2017

First, you have to multiply by the reciprocal.

Explanation:

Remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal means that the numerator and denominator are flipped.

So it becomes:
[x2+9x−22x2+12x+11]⋅[3x2−32x2−4x−6]

Then you have to F.O.I.L. for the numerator and denominator.
After you combine like terms, you end up with:
3x4+27x3−69x2−27x−662x4+20x3−32x2−116

Next notice how a 3 can be factored out of the numerator, and a 2 can be factored out of the denominator.
Like this:
3(x4+9x3−23x2−9x−22)2(x4+10x3−16x2−58)
This is the simplest form.

Hope this helps :)

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