Base on the zero product property, which of the following statements must be true about the quadratic equation (3x + 4) ( x - 2) = 0

Question

Neither of the factors, (3x+4) or (x-2), mu a t equal 0 for the entire function to equal 0.
Both factors, (3x+4) (x -2) ,must equal 0 for the entire function to equal 0.
No values of x will make the function equal to 0.
At least one of the factors (3x+4) or (x -2), must equal 0 for the entire function to equal 0.

Answer 1

Based on the zero product property, if the product of two factors equals zero, at least one of the factors must equal zero. Therefore, for the quadratic equation \((3x + 4)(x - 2) = 0\), 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.

So, the answer is the last statement provided.