9
QuizMultiple Choice

N/A — Exam

Question 9 • Geometry: Concepts and Connections

What is the product? 3 x to the 5th power open paren 2 x squared plus 4 x plus 1 close paren

Answer
A
6 x to the 10th power plus 12 x to the 5th power plus 3 x to the 5th power
B
3 x to the 5th power plus 2 x squared plus 4 x plus 1
C
6 x to the 7th power plus 12 x to the 6th power plus 3 x to the 5th power
D
2 x to the 7th power plus 4 x to the 6th power plus x to the 5th power

Explanation

Distribute 3x⁵ to each term inside the parentheses: 3x⁵·2x² = 6x⁷, 3x⁵·4x = 12x⁶, and 3x⁵·1 = 3x⁵. The product is 6x⁷ + 12x⁶ + 3x⁵, which is choice C.

AI-written and checked against the verified answer.

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