Factoring Polynomials

10th Grade•90 minutes

Learning Objective

I can factor polynomials completely using various techniques.

The first step in factoring a polynomial is to look for the greatest common factor (GCF).

Factoring can be thought of as the reverse of multiplication or distribution.

When factoring a trinomial in the form x² + bx + c, find two numbers that multiply to c and add to b.

This lesson includes 12 practice questions to reinforce learning.

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1. What is the first step you should take when factoring any polynomial completely?

2. Factor out the greatest common factor: 6x³ + 12x² - 18x

3. After factoring out the GCF, you are left with the expression 3x(x² - 4x + 4). What are the next steps to completely factor the polynomial?

...and 9 more questions

How to Factor Polynomials -- College Algebra Tips

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