12
AssignmentMultiple Choice

Multiplication of Polynomials

Question 12 • 26/27 ALGEBRA II A

Multiply.(x4 + 1)(3x2 + 9x + 2)

Answer
A
x4 + 3x2 + 9x + 3
B
3x6 + 9x5 + 2x4 + 3x2 + 9x + 2
C
3x7 + 9x6 + 2x5
D
3x8 + 9x4 + 2x4 + 3x2 + 9x + 2

Explanation

Distribute each term in x⁴ + 1 across 3x² + 9x + 2. Multiplying by x⁴ gives 3x⁶ + 9x⁵ + 2x⁴, and multiplying by 1 gives 3x² + 9x + 2. Adding these terms gives 3x⁶ + 9x⁵ + 2x⁴ + 3x² + 9x + 2, which is choice B.

AI-written and checked against the verified answer.

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