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

Question

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

anonymous · Answer

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

anonymous · Answer

Could you guide me a bit?

anonymous · Answer

its for a friend but i have long forgotten this

anonymous · Answer

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

anonymous · Answer

in that case compute 
$$f(3)$$ by replacing $x$ by $3$ and use a calculator

anonymous · Answer

$$ f(x) = 3x^4 + 11x^3 + 2x^2 - 7x + 61$$
$$ f(3) = 3(3)^4 + 11x(3)^3 + 2(3)^2 - 7(3) + 61$$

anonymous · Answer

gotcha! Thanks so much!

anonymous · Answer

anonymous · Answer

yw