Question

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) (x+3)(x+4)=0

x−3=0 x+4=0
x=3 x=−4

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

Oliver's work is almost accurate, but there is a small mistake in the first part of the solution. The Zero Product Property states that if a product of two or more factors equals zero, then at least one of the factors must be zero.

Given the equation:

(x + 3)(x + 4) = 0

According to the Zero Product Property, we set each factor equal to zero and solve for x:

x + 3 = 0 or x + 4 = 0

Now we solve each equation separately:

x + 3 = 0
x = -3 (not x = 3 as Oliver wrote)

x + 4 = 0
x = -4

Therefore, the corrected solutions are:

x = -3
x = -4

Oliver correctly solved for the second factor (x + 4 = 0) but made a sign error on the first factor (x + 3 = 0). The correct solutions are x = -3 and x = -4.