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
Yes, Oliver's work is accurate. The table shows the correct values of x that make the quadratic equation equal to 0.
Yes, Oliver's work is accurate. The Zero Product Property states that if a product of factors equals zero, then at least one of the factors must be zero. In this case, the factors are (x+3) and (x+4), and since their product equals zero, we set each factor equal to zero to find the possible values for x. Oliver correctly solved both equations, resulting in x=3 and x=-4 as the values that make the quadratic equation (x+3)(x+4) equal to zero.
Yes, Oliver's work is accurate.
To find the values of x that make the quadratic equation (x+3)(x+4)=0, he correctly set each factor equal to zero and solved for x.
The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero. In this case, we have (x+3)(x+4)=0, so either (x+3)=0 or (x+4)=0.
By setting (x+3) equal to zero, Oliver correctly deduced x=3.
Similarly, by setting (x+4) equal to zero, Oliver correctly deduced x=-4.
Therefore, the values of x that make the quadratic equation (x+3)(x+4)=0 are x=3 and x=-4, as Oliver determined.