11 October, 23:31
Is the binomial a factor of the polynomial function? f (x) = x^3+5x^2-9x-45
Select yes or no for each binomial:
12 October, 01:23
No, Yes, No
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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» 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)