11
AssignmentMultiple Choice

Multiplication of Polynomials

Question 11 • 26/27 ALGEBRA II A

Find the product.(3a4 + 4)2

Answer
A
6a4 + 8
B
9a8 + 16
C
9a8 + 24a4 + 16
D
9a16 + 24a4 + 16

Explanation

Square the binomial by multiplying it by itself: (3a⁴ + 4)(3a⁴ + 4). Using (x + y)² = x² + 2xy + y² gives (3a⁴)² + 2(3a⁴)(4) + 4² = 9a⁸ + 24a⁴ + 16. This matches choice C.

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