2
ALMultiple Choice

The Remainder and Factor Theorems

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

Which of the following polynomial functions has zeros at 7 and -7?

Answer
A
y = (x − 7)2
B
y = (x + 7)2
C
y = (x − 2)7
D
y = (x + 7)(x − 7)

Explanation

A zero occurs when a factor equals 0. The factors (x + 7) and (x − 7) are zero at x = −7 and x = 7, respectively, so y = (x + 7)(x − 7) has both required zeros. The other choices do not have both 7 and −7 as zeros.

AI-written and checked against the verified answer.

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