 # Advanced Factoring Strategies for Quadratic Expressions

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Lesson Plans and Worksheets for Algebra I
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Common Core For Algebra I

Examples, solutions, and videos to help Algebra I students learn how to develop strategies for factoring quadratic expressions that are not easily factorable, making use of the structure of the quadratic expression.

### New York State Common Core Math Algebra I, Module 4, Lesson 3, Lesson 4

Worksheets for Algebra I, Module 4, Lesson 3 (pdf)
Worksheets for Algebra I, Module 4, Lesson 4 (pdf)

Lesson 3 Summary

A polynomial expression of degree is often referred to as a quadratic expression.
Some quadratics are not easily factored. The following hints will make the job easier:

• In the difference of squares, a2 − b2, either of these terms a or b could be a binomial itself.
• The product-sum method is useful, but can be tricky when the leading coefficient is not 1.
• Trial and error is a viable strategy for finding factors.

Check your answers by multiplying the factors to ensure you get back the original quadratic expression.

Lesson 3 Exercises

Factor the expanded form of these quadratic expressions. Pay particular attention to the negative and positive signs.

Lesson 3 Problem Set Sample Solutions

Factor the following quadratic expressions.

Lesson 4 Opening Exercises

Factor the following quadratic expressions:
6x2 + 5x - 6
6x2 + 7x - 20
-4x2 - 4x - 1

Lesson 4 Summary

While there are several steps involved in splitting the linear term, it is a relatively more efficient and reliable method for factoring trinomials in comparison to simple guess-and-check.

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