11
QuizMultiple Choice

Solving Quadratic Equations by Factoring — Quiz

Question 11 • Algebra II

What are the solutions to the equation open paren x minus 6 close paren times open paren x plus 8 close paren is equal to 0 ?

Answer
A
x is equal to 6 or x is equal to 8
B
x is equal to 6 or x is equal to negative 8
C
x is equal to negative 6 or x is equal to negative 8
D
x is equal to negative 6 or x is equal to 8

Explanation

By the zero-product property, if (x − 6)(x + 8) = 0, at least one factor must equal 0. Solving x − 6 = 0 gives x = 6, and solving x + 8 = 0 gives x = −8. The solutions are 6 and −8, which is choice B.

AI-written and checked against the verified answer.

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