Question

Based on the Zero Product Property, which of the following statements must be true about the
quadratic equation (2x - 3) (x + 2) = 0? (1 point)
• Both factors, (2x - 3) and (x + 2), must equal 0 for the entire function to equal 0.
• At least one of the factors, (2x - 3) or (x + 2), must equal 0 for the entire function to equal 0.
• Neither of the factors, (2x - 3) nor (x + 2), must equal 0 for the entire function to equal 0.
• No values of x will make the function equal 0.

Answer 1

At least one of the factors, (2x − 3) or (x + 2), must equal 0 for the product to be 0.

Solving each factor: 2x − 3 = 0 → x = 3/2; x + 2 = 0 → x = −2.