Answer:
x = -7
x = 5
Step-by-step explanation:
Hello!
We can use the Zero Product Property to solve for the Zeroes.
Zero product Property
The zero product property stars by factoring a quadratic. You then set each of the factors to zero, and solve for the variable in the factor.
Factored form: y = a(x - h)(x - k)
- 0 = a(x - h)(x - k)
- 0 = (x - h)(x - k) Divide by a
Now, let's call each factor, A and B. To get to 0, either A, B, or both have to be 0. We prefer to solve for both.
Solve
- y = -16(x + 7)(x - 5)
- 0 = -16(x + 7)(x - 5)
- 0 = (x + 7)(x - 5) Divide by -16
- x + 7 = 0, x = -7
- x - 5 = 0, x = 5
The zeroes of the Quadratic is -7 and 5.
Why do we replace it with 0?
Zeroes means the x-intercepts, or the roots of a quadratic. An x-intercet is when y is equal to 0. So we replace y with 0, and solve for x.
