Question

5. What are the zeros of the polynomial function f(x) = x³ - 2x² - 4x + 8? (Select all that apply.)

□ (√2,0)
(2,0)
(0,0)
(-2,0)

Answer 1

(2, 0), (-2, 0)

Explanation:

f(x) = x³ - 2x² - 4x + 8

(x³ - 2x²) (-4x + 8)

x²(x - 2) - 4(x - 2)

(x² - 4) (x - 2)

(x + 2)(x - 2)(x - 2)

(x + 2) (x - 2)²

x = -2, 2 multiplicity of 2

I hope this helps!