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

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Common Core For Algebra I

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, a^{2} − b^{2}, 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.

Factor the following quadratic expressions:

6x^{2} + 5x - 6

6x^{2} + 7x - 20

-4x^{2} - 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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