Question

32t=243211. Determine all of the zeros of the function f(x) = (x2 - 5x + 4)(x + 6).-66-2424-484841

Answer 1

Answer

The zeros of the function include

x = -6

x = 1

x = 4

Explanation

The zeros of any function are simply the roots of the function

f(x) = (x² - 5x + 4) (x + 6)

For the zeros,

(x² - 5x + 4) (x + 6) = 0

x² - 5x + 4 = 0

OR

x + 6 = 0

If x² - 5x + 4 = 0

x² - 5x + 4 = 0

x² - x - 4x + 4 = 0

x (x - 1) - 4 (x - 1) = 0

(x - 1) (x - 4) = 0

x - 1 = 0 OR x - 4 = 0

x = 1

x = 4

If x + 6 = 0

x + 6 = 0

x = -6

So, the zeros of the function include

x = -6

x = 1

x = 4

Hope this Helps!!!