Question

While using zero product property to find the value of x that makes a quadologic equation x + 3 * x + 4 = 0 Oliver completed the work provided in the table is Oliver's work accurate no x minus 3 equals 0 in the second row should be x + 3 = 0 yes the work is

Answer 1

To solve the quadratic equation \( (x + 3)(x + 4) = 0 \) using the zero product property, we first set each factor equal to zero:

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

Now we can solve each equation:

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

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

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

Regarding Oliver's work, if he wrote \( x - 3 = 0 \) in the second row instead of \( x + 3 = 0 \), then he made a mistake in identifying the factors of the equation. Hence, his work would not be accurate.

To summarize:
- Yes, the correct factor to set equal to zero is \( x + 3 = 0 \), not \( x - 3 = 0 \).
- Oliver's conclusion based on that mistake would not be accurate.

So to answer your question about whether Oliver's work is accurate: **No, it is not accurate.**