Question

Find the remainder when f(x) is divided by (x - k) f(x) = 3x^4 + 11x^3 + 2x^2 - 7x + 61; k = 3

Answer 1

you have a choice
use synthetic division, which is the easiest method probably
or comute \(f(3)\)

Answer 2

Could you guide me a bit?

Answer 3

its for a friend but i have long forgotten this

Answer 4

you know how to do synthetic division? it is real easy to do but very hard to write here in a chat box

Answer 5

in that case compute
\[f(3)\] by replacing \(x\) by \(3\) and use a calculator

Answer 6

\[ f(x) = 3x^4 + 11x^3 + 2x^2 - 7x + 61\]
\[ f(3) = 3(3)^4 + 11x(3)^3 + 2(3)^2 - 7(3) + 61\]

Answer 7

gotcha! Thanks so much!

Answer 8

here is a nice calculator
http://www.wolframalpha.com/input/?i=3%283%29^4+%2B+11%283%29^3+%2B+2%283%29^2+-+7%283%29+%2B+61&dataset=&equal=Submit

Answer 9

yw