16
QuizMultiple Choice

N/A — Exam

Question 16 • Algebra II

Use the zero product property to find the solutions to the equation x squared minus 15 x minus 100 is equal to 0

Answer
A
x is equal to 5 or x is equal to 20
B
x is equal to negative 5 or x is equal to 20
C
x is equal to negative 20 or x is equal to negative 5
D
x is equal to negative 20 or x is equal to 5

Explanation

Factor the quadratic: x² − 15x − 100 = (x − 20)(x + 5), since −20 and 5 multiply to −100 and add to −15. By the zero product property, x − 20 = 0 or x + 5 = 0, so x = 20 or x = −5. The correct choice is x = −5 or x = 20.

AI-written and checked against the verified answer.

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