5
QuizMultiple Choice

Solving Quadratic Equations by Factoring

Question 5 • FL-1200700-Mathematics for College Algebra MIS

Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12.

Answer
A
x = –6 or x = 1
B
x = –3 or x = –2
C
x = –1 or x = 6
D
x = 2 or x = 3

Explanation

First rewrite the equation so one side is zero: (x + 2)(x + 3) − 12 = 0. Expanding and simplifying gives x² + 5x − 6 = 0, which factors as (x + 6)(x − 1) = 0. By the zero product property, x = −6 or x = 1, so the correct choice is A, “x = −6 or x = 1.”

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