F (x) = x^2 - 16x+63 find the x-intercepts of this function

The x-intercepts will be, x = 7 or x = 9

Step-by-step explanation:

f (x) = x^2 - 16x+63

At the x-intercept, f (x) is zero.

Therefore;

x² - 16x + 63 = 0

solving it quadratically;

product = 63

Sum = - 16

x² - 9x - 7x + 63 = 0

x (x-9) - 7 (x-9) = 0

(x-7) (x-9) = 0

x = 7 or x = 9

Therefore;

The x-intercepts will be, x = 7 or x = 9