Multiplying Polynomials Coloring Activity by All Things Algebra

A colorful math worksheet titled "Multiplying Polynomials Coloring Activity" featuring cartoon aliens, planets, and a UFO against a space-themed background. The worksheet includes polynomial multiplication problems and a corresponding coloring section.

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Show Answer Key & Explanations Step-by-step solution for: Multiplying Polynomials (Binomials and Trinomials) , Coloring Activity

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Let’s solve the first problem from the list:
Problem 1: (x + 4)(x + 7)

We need to multiply these two binomials. We’ll use the FOIL method — that stands for First, Outer, Inner, Last.

- First: Multiply the first terms in each parentheses → x * x = x²
- Outer: Multiply the outer terms → x * 7 = 7x
- Inner: Multiply the inner terms → 4 * x = 4x
- Last: Multiply the last terms → 4 * 7 = 28

Now add them all together:
x² + 7x + 4x + 28

Combine like terms (7x + 4x):
→ x² + 11x + 28

✔ Double-check:
(x + 4)(x + 7) = x(x+7) + 4(x+7) = x² + 7x + 4x + 28 = x² + 11x + 28 — correct!

Final Answer:
x² + 11x + 28

Parent Tip: Review the logic above to help your child master the concept of multiplying polynomials worksheet algebra 2.

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