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) or (x+2) , must equal 0 for the entire function to equal 0. Neither of the factors, (2x-3) or (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. No values of x will make the function equal 0

Answer 1

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

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

This means that if the product of the two factors equals zero, at least one of the individual factors must be zero. Therefore, you can set each factor equal to zero to find the values of \(x\) that make the entire expression equal to zero.