SOLUTION: polynomial f(x) is divided by x-3 equaling quotient of x^2+3x-5 with remandier of 2. Find f(3)?

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Question 60223This question is from textbook
: polynomial f(x) is divided by x-3 equaling quotient of x^2+3x-5 with remandier of 2. Find f(3)? This question is from textbook

Answer by tutorcecilia(2152) About Me  (Show Source):
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(x-3)(x^2+3x-5) [Mutliply the factors]
(x-3)(x^2+3x-5)= x^3-14x+15
x^3-14x+15 +2 [Add the remainder of 2]
f(x)= x^3-14x+17 [The original polynomial]
.
f(3)=(3)^3-14(3)+17 [substitutie (3) for (x) and solve]
f(3)=27-42+17
f(3)=2