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) Responses No values of x will make the function equal 0. No values of x will make the function equal 0. Both factors, (2x−3) or (x+2), must equal 0 for the entire function to equal 0. Both factors, left parenthesis 2 x minus 3 right parenthesis or left parenthesis x plus 2 right parenthesis , 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. At least one of the factors, left parenthesis 2 x minus 3 right parenthesis or left parenthesis x plus 2 right parenthesis , 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. Neither of the factors, left parenthesis 2 x minus 3 right parenthesis or left parenthesis x plus 2 right parenthesis , must equal 0 for the entire function to equal 0.
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."
Based on the Zero Product Property, the correct statement about the quadratic equation (2x-3)(x+2)=0 is: At least one of the factors, (2x-3) or (x+2), must equal 0 for the entire function to equal 0.
According to the Zero Product Property, if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. In the given quadratic equation, (2x−3)(x+2)=0, the product of the two factors is equal to zero.
So, applying the Zero Product Property to this equation, we can conclude that at least one of the factors, (2x−3) or (x+2), must equal 0 for the entire function to equal 0.
Therefore, 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.