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)
Responses
Yes, the work is accurate.
Yes, the work is accurate.
No, x−3=0 in the second row should be x+3=0.
No, x minus 3 equals 0 in the second row should be x plus 3 equals 0 .
No, he should have a third column where he should set x=0.
No, he should have a third column where he should set x equals 0 .
No, x+4=0 in the second row should be x−4=0.
No, the work is accurate.
Oliver's use of the Zero Product Property is correct. For a product of two factors to equal zero, at least one of the factors must be zero. Thus, he correctly set up two equations based on each factor being equal to zero.
Here is the accurate application of the Zero Product Property:
(x + 3)(x + 4) = 0
This gives us two possibilities:
x + 3 = 0 or x + 4 = 0
For x + 3 = 0, we solve for x:
x = -3
For x + 4 = 0, we solve for x:
x = -4
So the correct values of x that make the quadratic equation equal to zero are x = -3 and x = -4. Oliver's work, assuming that this was his process, is accurate.