Simplifying Polynomials
10th Grade•60 minutes
Learning Objective
I can simplify polynomial expressions by adding, subtracting, and multiplying.
Key Concepts
When multiplying polynomials, we are just using the distributive property repeatedly.
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.
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.
Practice Questions
This lesson includes 12 practice questions to reinforce learning.
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1. Simplify the expression: 3x * (2x - 7).
2. Expand and simplify: (x + 4) * (x - 1).
3. What is the result of (5x - 2) * (x + 3)?
...and 9 more questions
Educational Video
Multiplying binomials and polynomials | Algebra Basics | Khan Academy
Khan Academy