Mary Jane Sterling - Algebra I - 1001 Practice Problems For Dummies (+ Free Online Practice)

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512–519 Factor the quadratic-like expressions into the product of two binomials.

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520–535 Completely factor each trinomial.

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Chapter 12

The process of factoring binomials and quadratic trinomials is pretty much scripted with the various choices available for each format. When you start factoring expressions with more than three terms, you need different techniques to create the factorization — or to recognize that factors may not even exist.

In this chapter on factoring polynomials, you deal with the following situations:

Factoring four, six, and eight (or more) terms, using grouping

Recognizing and using uneven grouping to create differences of squares

Starting with grouping and then finding differences of squares in the factors

Starting with grouping and then finding sums or differences of cubes in the factors

Recognizing that factoring out the GCF (greatest common factor) first makes factoring easier

Here are a few things to keep in mind while you work on the factoring:

Making sure factors created from grouping are exactly the same

Factoring negative terms correctly

Recognizing when a problem can be factored again and knowing when to stop

536–543 Factor by grouping.

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