14
QuizMultiple Choice

Solving Quadratic Equations by Factoring — Quiz

Question 14 • Algebra II

What are the solutions to the equation open paren 2 x minus 5 close paren times open paren 3 x minus 1 close paren is equal to 0 ?

Answer
A
x is equal to 2 fifths or x is equal to 3
B
x is equal to negative 5 halves or x is equal to negative 1 third
C
x is equal to 5 halves or x is equal to 1 third
D
x is equal to 5 or x is equal to 1

Explanation

By the zero-product property, at least one factor must equal 0. Solving 2x − 5 = 0 gives x = 5/2, and solving 3x − 1 = 0 gives x = 1/3. Therefore, the solutions are x = 5/2 or x = 1/3, which is choice D.

AI-written and checked against the verified answer.

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