7
QuizMultiple Choice

Lesson 9.1: Solving Quadratic Equations: Zero Product Property

Question 7 • FL-1200710-Mathematics for College Algebra A

Which equation is true for x = –6 and x = 2?

Answer
2
2x2 – 16x + 12 = 0
2
2x2 + 8x – 24 = 0
3
3x2 – 4x – 12 = 0
3
3x2 + 12x + 36 = 0

Explanation

An equation true for both x = −6 and x = 2 must have those values as roots. The corresponding factors are (x + 6) and (x − 2), which multiply to x² + 4x − 12. Choice B is 2 times that expression: 2x² + 8x − 24 = 0, so it equals zero at both values.

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