SOLUTION: The polynomial f(x) divided x-3 results in a question of x^2-3x-5 with a remainder of 2. Find f(3). <p> I basically factored (x-3)(x^2-3x-5) + 2 which I think gave me the polynom

Question 16790: The polynomial f(x) divided x-3 results in a question of x^2-3x-5 with a remainder of 2. Find f(3).

I basically factored (x-3)(x^2-3x-5) + 2 which I think gave me the polynomial for f(x) which is (x^3-14x+17)+ 2, since 2 was the remainder. I substituted 3 for x and came up with an answer of 5, but I don't think this is correct. I think it's suppose to be -5, but I'm not sure how that is or I could be wrong all together. Thanks for the help.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
You are correct in saying that f(x) = (x-3)(x^2-3x-5) + 2. There is no need to multiply this out, as it will only make matters more confusing. Leave it as it is.

Now, to find f(3), you substitute x=3 into the f(x) formula, and the whole first part subtracts out, leaving f(3) = 2. That is your final answer!!

R^2 at SCC

RELATED QUESTIONS
The polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. (answered by stanbon)

the polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. (answered by stanbon)

The polynomial f(x) divided x-3 results in a quotient of x squared+3x-5 with the... (answered by scott8148)

The polynomial f(x) divided x – 3 results in a quotient of x2 + 3x – 5 with... (answered by pvrbrahmam)

THE POLYNOMIAL f(x) DIVIDED x-3 RESULTS IN A QUOTIENT OF x2+3x-5 WITH A REMAINDER OF 2.... (answered by ankor@dixie-net.com)

Ok, the polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of (answered by stanbon)

The polynomial f(x)divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2.... (answered by fractalier)

I am trying to study for a test and I can not figure how to do this question. The... (answered by jim_thompson5910)

Missed the following on Chapter quiz; please help studying for exam: Find a polynomial (answered by stanbon)