Question

Use the table to answer the question.

(x+3)(x+4)=0
x−3=0 x+4=0
x=3 x=−4 While using the Zero Product Property to find the values of x that make the quadratic equation (x+3)(x+4) equals 0, Oliver completed the work provided in the table. Is Oliver’s work accurate?(1 point)
Responses

No, x+4=0 in the second row should be x−4=0.
No, x plus 4 equals 0 in the second row should be x minus 4 equals 0 .

Yes, the work is accurate.
Yes, the work is accurate.

No, x−3=0 in the second row should be x+3=0.
No, x minus 3 equals 0 in the second row should be x plus 3 equals 0 .

No, he should have a third column where he should set x=0.
No, he should have a third column where he should set x equals 0 .

Answer 1

Yes, the work is accurate.

Oliver's work is accurate because he correctly applied the Zero Product Property. The Zero Product Property states that if a product of two factors is zero, then at least one of the factors must be zero.

Oliver started with the equation (x+3)(x+4) = 0 and set each factor equal to zero to find the values of x.

For the first factor, he set x+3 = 0 and solved for x to get x = -3.
For the second factor, he set x+4 = 0 and solved for x to get x = -4.

Therefore, the values of x that make the quadratic equation equal to 0 are x = -3 and x = -4. Oliver's solution is correct; there is no need for a third column where x = 0, as that would not be a proper application of the Zero Product Property in this case.