Find the remainder when f(x) is divided by (x - k)

f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3

Question

Find the remainder when f(x) is divided by (x - k)

f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3

anonymous · Answer

you can do this by computing $f(3)$ if you like, use a calculator

mathmale · Answer

Are you familiar with synthetic division?  That method would work great for finding the remainder.

anonymous · Answer

synthetic division will work well too, it is the same as finding $f(3)$

anonymous · Answer

how do you put it into the calculator

anonymous · Answer

http://www.wolframalpha.com/input/?i=7%283%29^4+%2B+12%283%29^3+%2B+6%283%29^2+-+5%283%29+%2B+16

mathmale · Answer

This probelm could be done on a calculator, 'tho I'd suggest you use synth. div.
How have you evaluated polynomials before, given a particular x value?  Can you transfer that know-how to the present situation?

anonymous · Answer

thanks @satellite73

mathmale · Answer

You need to let every x in the given polynomial equal 3.
To help you get started out:
7(3)^4 + 12(3)^3 + 6     (you finish it).