Given g(x) = x^2 - 8x - 20, which statement is true? Show your work.
A. The zeros are -10 and 2, because the factors of g are (x + 10) and (x - 2). B. The zeros are -10 and -2, because the factors of g are (x + 10) and (x + 2). C. The zeros are 10 and -2, because the factors of g are (x - 10) and (x + 2). D. The zeros are 10 and 2, because the factors of g are (x - 10) and (x - 2).
We can use the quadratic formula to find the zeros of g(x):
x = (-(-8) ± sqrt((-8)^2 - 4(1)(-20))) / 2(1)
Simplifying:
x = (8 ± sqrt(144)) / 2
x = (8 ± 12) / 2
x = 10 or -2
Therefore, the zeros of g(x) are 10 and -2, which means option C is the correct statement.