11
QuizMultiple Choice

Polynomial Expressions — Test

Question 11 • Geometry: Concepts and Connections

What is the product? open paren y squared plus 3 y plus 7 close paren times open paren 8 y squared plus y plus 1 close paren

Answer
A
8 y to the 4th power plus 24 y cubed plus 60 y squared plus 10 y plus 7
B
8 y to the 4th power plus 25 y cubed plus 4 y squared plus 10 y plus 7
C
8 y to the 4th power plus 25 y cubed plus 60 y squared plus 10 y plus 7
D
8 y to the 4th power plus 25 y cubed plus 60 y squared plus 7 y plus 7

Explanation

Distribute each term in y² + 3y + 7 across 8y² + y + 1. Combining like terms gives 8y⁴ + (1 + 24)y³ + (1 + 3 + 56)y² + (3 + 7)y + 7, which simplifies to 8y⁴ + 25y³ + 60y² + 10y + 7. This matches choice B.

AI-written and checked against the verified answer.

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