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

Look for the greatest common factor (GCF).

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?

Factor the quadratic expression x² - 4x + 4.

10th GradeMath90 min

I can factor polynomials completely using various techniques.

5 min

How to Factor Polynomials -- College Algebra Tips

StraighterLine

18 min

Key concepts students will learn:

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The first step in factoring a polynomial is to look for the greatest common factor (GCF).
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Factoring can be thought of as the reverse of multiplication or distribution.
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When factoring a trinomial in the form x² + bx + c, find two numbers that multiply to c and add to b.

27 min

12 questions • Multiple choice & Short answer & True/false

5 min

“Factor the polynomial completely: 3x³ + 12x² + 9x. Show all steps.”

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