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Here are some tips for Polynomial Fraction Simplification, which aligns with Ohio 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

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