To determine if Oliver's work is accurate, we need to look at the steps he provided for solving the equation \((x + 3)(x + 4) = 0\) using the Zero Product Property.
The Zero Product Property states that if a product of two factors equals zero, then at least one of the factors must equal zero.
In Oliver's table:
- He sets \(x + 3 = 0\) leading to \(x = -3\).
- He sets \(x + 4 = 0\) leading to \(x = -4\).
However, there seems to be a mistake in the interpretation of the previous response options you provided. The correct factors derived from the equation \((x + 3)(x + 4) = 0\) should give:
- From \(x + 3 = 0\) → \(x = -3\)
- From \(x + 4 = 0\) → \(x = -4\)
The option saying, “No, \(x + 4 = 0\) in the second row should be \(x - 4 = 0\)” is incorrect because it confuses the equation and the roots obtained.
So, considering the evaluation and the relevant factors, the correct answer would be:
Yes, the work is accurate.
He correctly found the values of \(x\) that solve the equation.