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)
Responses

Both factors, (3x+4) and (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.

No values of x will make the function equal to 0
No values of x will make the function equal to 0

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

1 answer

Based on the Zero Product Property, the correct statement is:

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

This is because the Zero Product Property states that if the product of two factors (in this case, (3x + 4) and (x - 2)) is equal to zero, then at least one of the factors must be equal to zero.