Factoring by Grouping

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Objective

I can factor polynomials with four terms by grouping.

Part 1 of 4

Warm-up video

StudyPug · 7:47

We don't generate video — this one is by StudyPug on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    When factoring a polynomial with four terms, you can use the factor by grouping method.

  2. 2

    When grouping, identify the common factor within each group and factor it out.

  3. 3

    After factoring out the common factors from each group, factor out the common binomial to arrive at the final factored form.

Part 3 of 4

Practice

12 questions

1

What is the first step when factoring a polynomial with four terms by grouping?

2

In the expression x³ + 5x² + 3x + 15, what is the common factor that can be factored out from the first group (x³ + 5x²)?

Part 4 of 4

Exit ticket

Quick comprehension check

Factor the polynomial x³ - 5x² + 4x - 20 by grouping. Show all steps.

Sample answer included in the free materials

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