3
ALMultiple Choice

The Remainder and Factor Theorems

Question 3 • IASD Precalculus 2nd Quarter - Wingerter 2025-26

Which of the following is the standard form of the polynomial function y = x(x + 5)(x − 3)?

Answer
A
y = x2 + 2x − 15
B
y = x3 − 8x2 − 15x
C
y = x2 − 8x − 15
D
y = x3 + 2x2 − 15x

Explanation

First multiply the two binomials: (x + 5)(x − 3) = x² + 2x − 15. Then multiply by the remaining x to get y = x³ + 2x² − 15x. This matches choice D, y = x³ + 2x² − 15x.

AI-written and checked against the verified answer.

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