Based on the Zero Product Property, which of the following statements must be true about the quadratic equation (5x+1)(x−8)=0

Question

?(1 point)
Responses

No values of x will make the left side of the equation equal 0.
No values of x will make the left side of the equation equal 0.

At least one of the factors, (5x+1)
or (x−8)
, must equal 0 for the left side of the equation to equal 0.
At least one of the factors, open paren 5 x plus 1 close paren or open paren x minus 8 close paren, must equal 0 for the left side of the equation to equal 0.

Neither of the factors, (5x+1)
or (x−8)
, must equal 0 for the left side of the equation to equal 0.
Neither of the factors, open paren 5 x plus 1 close paren or open paren x minus 8 close paren, must equal 0 for the left side of the equation to equal 0.

Answer 1

Based on the Zero Product Property, the correct statement regarding the quadratic equation \((5x+1)(x−8)=0\) is:

At least one of the factors, (5x+1) or (x−8), must equal 0 for the left side of the equation to equal 0.

This property states that if the product of two factors equals zero, then at least one of the factors must be equal to zero.