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, 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 .

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, 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 .
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Answer 1

Oliver's work is incorrect. The expression he factored, $(x+3)(x+4)=0$, leads to the equations $x+3=0$ and $x+4=0$ when using the Zero Product Property. It seems he incorrectly wrote $x-3=0$ instead of $x+3=0$.

Therefore, the correct responses about the accuracy of his work would be:

• No, $x-3=0$ in the second row should be $x+3=0$.

This option points out the correct mistake in his work and indicates a misunderstanding of the factorization.