4
QuizMultiple Choice

Solving Quadratic Equations by Factoring — Quiz

Question 4 • Algebra II

Use the zero product property to find the solutions to the equation x squared plus 12 is equal to 7 x

Answer
A
x is equal to 3 or x is equal to 4
B
x is equal to negative 3 or x is equal to 4
C
x is equal to negative 4 or x is equal to 3
D
x is equal to negative 4 or x is equal to negative 3

Explanation

Rewrite the equation with zero on one side: x² − 7x + 12 = 0. Factor the quadratic as (x − 3)(x − 4) = 0. By the zero product property, either x − 3 = 0 or x − 4 = 0, so x = 3 or x = 4. This matches choice A, “x is equal to 3 or x is equal to 4.”

AI-written and checked against the verified answer.

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