Question

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