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Dividing polynomials

Dividing polynomials is relatively simple. All we have to do is look for common factors between the numerator and the denominator of the fraction. Take, for example, the expression 2xx^4y^2/4x^2y^3. The numerator and denominator of this expression have a common factor of 2x^2y^3. We're left with the fraction 2x^2/3y.

There are times where we might have to factor the fraction in order to ferret out the common factor.

x^2 - 9/x^2 + 6x + 9

=

(x + 3)(x - 3) / (x + 3)(x + 3)

We see that the common factor of the numerator and denominator of the fraction is x + 3. The original fraction ultimately reduces to x - 3/x + 3.