Answer:
No, Yes, No
Step-by-step explanation:
to determine if the given binomials are factors of f(x)
if (x - a) is a factor of a polynomial then f(a) = 0
f(5) = 5³ + 5(5)² - 9(5) - 45 = 125 + 125 - 45 - 45 = 160 ≠ 0
⇒ (x - 5) is not a factor
f(- 3) = (- 3)³ + 5(- 3)² - 9(- 3) - 45 = - 27 + 45 + 27 - 45 = 0
⇒ (x + 3) is a factor
f(15) = 15³ + 5(15)² - 9(15) - 45 ≠ 0
⇒ (x - 15) is not a factor
