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

1 answer

Oliver's work contains an error. The correct application of the Zero Product Property for the equation \((x+3)(x+4)=0\) should show:

  1. Set each factor equal to zero:

    • \(x+3=0\)
    • \(x+4=0\)
  2. Solve each equation:

    • From \(x+3=0\), we get \(x=-3\).
    • From \(x+4=0\), we get \(x=-4\).

In Oliver's table, he incorrectly stated \(x-3=0\) instead of \(x+3=0\). Therefore, the correct response is:

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