Is the binomial a factor of the polynomial function? f(x)=x^3+5x^2-9x-45 select yes or no for each binomial: (x-5) (x+3) (x-15)

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

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95.03 is the answer. hope this !