Answer:
Options 3, 4 and 5
Step-by-step explanation:
Given:
F(x) = x³ + 3x² - 25x - 75
Factor the given function:
F(x) = x³ + 3x² - 25x - 75
⇒ take x² a common from (x³ + 3x²) and (-25) a common from (- 25x - 75)
F(x) = x²(x+3) - 25 (x+3)
⇒ take (x+3) as a common
F(x) = (x+3) (x² - 25)
(x² - 25) = (x-5) (x+5)
∴ F(x) = (x+3) (x-5) (x+5)
The answer are options 3, 4 and 5
