Question

Please help i put 15 points for this

Answer 1

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