?(1 point)
Responses
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.
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.
Neither of the factors, (2x−3)
nor (x+2)
, must equal 0 for the entire function to equal 0.
Neither of the factors, left parenthesis 2 x minus 3 right parenthesis nor left parenthesis x plus 2 right parenthesis , must equal 0 for the entire function to equal 0.
No values of x will make the function equal 0.
1 answer
The correct statement based on the Zero Product Property 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 is equal to zero, then at least one of the factors must be equal to zero. In this case, if \((2x - 3)(x + 2) = 0\), either \(2x - 3 = 0\) or \(x + 2 = 0\) (or both) must be true to satisfy the equation.
