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.
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
1 answer
1 answer