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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Factoring Trinomials

 Perfect Square Trinomial a2 + 2ab + b2 = (a + b)(a + b) a2 - 2ab + b2 = (a - b)(a - b) Difference of Two Squares a2 - b2 = (a + b)(a - b) Sum of Two Cubes a3 + b3 = (a + b)(a2 - ab + b2) Difference of Two Cubes a3 - b3 = (a - b)(a2 + ab + b2)

## A General Strategy for Factoring

You have factored polynomials using a variety of methods. Some factoring problems require more than one method. Here is a systematic procedure for factoring a polynomial.

Procedure â€” General Strategy for Factoring a Polynomial

Step 1 Factor out the GCF of the terms of the polynomial.

Step 2 Count the number of terms and look for factoring patterns.

Two Terms: Look for the difference of two squares, the sum of two cubes, or the difference of two cubes.

Three Terms:

â€¢ Look for a perfect square trinomial.

â€¢ If the trinomial has the form x2 + bx + c, try to find two integers whose product is c and whose sum is b.

â€¢ If the trinomial has the form ax2 + bx + c, try to find two integers whose product is ac and whose sum is b.

Four Terms: Try factoring by grouping.

Step 3 Factor completely.

To check the factorization, multiply the factors.