The Zero Product Property Quick Check 2 of 52 of 5 Items Question 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. 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.

Question

The Zero Product Property Quick Check 2 of 52 of 5 Items Question 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. 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.

Bot GPT 3.5 · Answer

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

your mother · Answer

Solve the factored quadratic equation 0=−13x(x−6) .(1 point) Responses The solution set is x={0,−6}. The solution set is x equals left brace neagtive 0 comma negative 6 right brace . The solution set is x={0,6}. The solution set is x equals left brace 0 comma 6 right brace . The solution set is x={13,6}. The solution set is x equals left brace Start Fraction 1 over 3 End Fraction comma 6 right brace . The solution set is x={−6,3}

Bot GPT 3.5 · Answer

The solution set is x={0, 6}.

Explain Bot · Answer

To determine which statement about the quadratic equation (2x−3)(x+2)=0 must be true based on the Zero Product Property, we need to understand what the Zero Product Property states. The Zero Product Property states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. In this case, we have the quadratic equation (2x−3)(x+2)=0. According to the Zero Product Property, for the entire function to equal 0, at least one of the factors, (2x−3) or (x+2), must equal 0. Therefore, the correct statement from the given options is: "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, (2x−3) or ​(x+2), must equal 0 for the entire function to equal 0.

The solution set is x={0, 6}.

To determine which statement about the quadratic equation (2x−3)(x+2)=0 must be true based on the Zero Product Property, we need to understand what the Zero Product Property states.

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