Question

Based on the Zero Product Property, which of the following statements must be true about the quadratic equation (3x+4)(x−2)=0
(1 point)

Neither of the factors, (3x+4) or (x-2), must equal 0 for the entire function to equal 0.

Both factors, (3x+4) and (x-2), must equal 0 for the entire function to equal 0.

At least one of the factors (3x+4) or (x-2), must equal 0 for the entire function to equal 0.

No values of x will make the function equal to 0

Answer 1

"At least one of the factors (3x+4) or (x−2) must equal 0 for the entire function to equal 0."

Explanation: By the Zero Product Property, set each factor to zero: 3x+4=0 → x=-4/3, and x−2=0 → x=2. These are the solutions.