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)

Question

Responses

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

Both factors, (2x−3) or ​(x+2), must equal 0 for the entire function to 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 property states that if a product of multiple factors equals zero, then at least one of the factors must also be zero. Therefore, for the equation (2x−3)(x+2)=0 to hold true, one or both of the factors must equal zero.