5
AssignmentMultiple Choice

Factoring Polynomials Completely

Question 5 • 26/27 ALGEBRA II A

Which expression is equal to the polynomial below?2x4 + 5x3 – 8x – 20

Answer
A
x3(2x + 5) + 4(2x – 5)
B
x3(2x + 5) – 4(2x + 5)
C
x3(2x – 5) – 4(2x – 5)
D
x3(2x + 5) + 4(2x + 5)

Explanation

Group the first two terms and the last two terms: 2x⁴ + 5x³ − 8x − 20 = x³(2x + 5) − 4(2x + 5). Both groups share the factor (2x + 5), so choice B is equal to the polynomial.

AI-written and checked against the verified answer.

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