Polynomial Fraction Simplification Sample Problems

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Here are some tips for Polynomial Fraction Simplification, which aligns with New York state standards:

Polynomial Fraction Simplification

You will do well in this topic if you know trinomial factoring and binomial fraction simplification.
To review, see the topics Trinomial Factoring and Binomial Fraction Simplification.

Factor the numerator and denominator expressions, and then simplify.

Example 1:

Simplify.

x² - 9x + 18
x - 3

x² - 9x + 18
x - 3
=
(x - 3)(x - 6)
x - 3

=
(x - 3)(x - 6)
x - 3

= x - 6

Example 2:

Simplify.

x² - 3x - 10
x² - 9x + 20

x² - 3x - 10
x² - 9x + 20
=
(x - 5)(x + 2)
(x - 4)(x - 5)

=
(x - 5)(x + 2)
(x - 4)(x - 5)

=
x + 2
x - 4