Simplifying Polynomials

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Objective

I can simplify polynomial expressions by adding, subtracting, and multiplying.

Part 1 of 4

Warm-up video

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We don't generate video — this one is by Khan Academy 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 multiplying polynomials, we are just using the distributive property repeatedly.

  2. 2

    When multiplying (x – 3)(x + 2), you want to multiply every term in the first binomial by each of the terms in the second binomial.

  3. 3

    When multiplying larger polynomials, line up the terms like you are doing long multiplication, keeping the constants, x, x², x³, etc. in their proper place.

Part 3 of 4

Practice

12 questions

1

Simplify the expression: 3x * (2x - 7).

2

Expand and simplify: (x + 4) * (x - 1).

Part 4 of 4

Exit ticket

Quick comprehension check

Multiply the following polynomials: (4x - 1) * (x + 3). Show all steps.

Sample answer included in the free materials

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