Which of the following represents the zeros of f (x) = x3 - 4x2 - 5x + 20?

-4, - square root of 5, - square root of 5

4, square root of 5, - square root of 5

4, - square root of 5, - square root of 5

-4, square root of 5, square root of 5

The zeroes of f (x) are 4, √5, - √5

Step-by-step explanation:

(x - 4) is a factor of f (x) because : (x = 4)

(4) ³ - 4 (4) ² - 5 (4) + 20 = 0

(x - √5) is a factor of f (x) because : (x = √5)

(√5) ³ - 4 (√5) ² - 5 (√5) + 20 = 0

(x + √5) is a factor of f (x) because : (x = - √5)

(-√5) ³ - 4 (-√5) ² - 5 (-√5) + 20 = 0

∴ The zeroes of f (x) are 4, √5, - √5