13
practice examMultiple Choice

Practice Exam

Question 13 • Algebra II

Use the zero product property to find the solutions to the equation 2 x squared plus x minus 1 is equal to 2

Answer
A
x is equal to negative 3 halves or x is equal to 1
B
x is equal to negative 2 or x is equal to 1 half
C
x is equal to 1 or x is equal to 3 halves
D
x is equal to negative 1 half or x is equal to 2

Explanation

First subtract 2 from both sides to get 2x² + x − 3 = 0. Factor the quadratic as (2x + 3)(x − 1) = 0. By the zero product property, 2x + 3 = 0 or x − 1 = 0, so x = −3/2 or x = 1. These are the solutions in choice A.

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