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

Answer 1

To determine if Oliver's work is accurate, let's apply the Zero Product Property to the equation \((x + 3)(x + 4) = 0\).

According to the Zero Product Property, if the product of two factors equals zero, at least one of the factors must equal zero. Therefore, we can set each factor equal to zero and solve for \(x\):

1. \(x + 3 = 0\) \[ x = -3 \]

2. \(x + 4 = 0\) \[ x = -4 \]

Thus, the solutions to the equation \((x + 3)(x + 4) = 0\) are \(x = -3\) and \(x = -4\).

If Oliver arrived at these two solutions in his work, then his work is accurate. However, if there are any discrepancies or different values provided in the table he completed, then his work would not be accurate.

To provide a conclusive answer, you would need to check the values that Oliver recorded in his table against the correct solutions, which are \(x = -3\) and \(x = -4\).