Use the table to answer the question.

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−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 .

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

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 .

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

Answer 1

Oliver's work needs to be assessed based on the steps he took to apply the Zero Product Property to solve the equation \((x + 3)(x + 4) = 0\).

According to the Zero Product Property, if the product of two factors is zero, then at least one of the factors must be equal to zero.

The equation \((x + 3)(x + 4) = 0\) implies:

1. \(x + 3 = 0\) leading to \(x = -3\)
2. \(x + 4 = 0\) leading to \(x = -4\)

In the table provided, the second row incorrectly shows \(x - 3 = 0\) instead of \(x + 3 = 0\).

Therefore, the correct response is:

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