?(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)
and (x+2)
, must equal 0 for the entire function to equal 0.
Both factors, left parenthesis 2 x minus 3 right parenthesis and 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)
nor (x+2)
, must equal 0 for the entire function to equal 0.
1 answer
Based on the Zero Product Property, the correct statement regarding 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.
This is because the Zero Product Property states that if the product of two factors equals zero, then at least one of the factors must be equal to zero.
