Originally Posted by

**amandagarcia0709** I'm taking an online course and this weeks lesson is long division of functions. The text has no explanation on how to do it, so any help would be appreciated.

For the function

f(x) = x^4 – 3x^3 + x^2 + 3x + 702

use long division to determine whether x+6 is a factor of f(x)

I have no idea where to start... thanks!

do the long division ...

Code:

.......x^3 - 9x^2 + 55x - 327
-----------------------------------
x+6 | x^4 - 3x^3 + x^2 + 3x + 702
......x^4 + 6x^3
-----------------------------------
...........-9x^3 + x^2 + 3x + 702
...........-9x^3 - 54x^2
-----------------------------------
..................55x^2 + 3x + 702
..................55x^2 + 330x
------------------------------------
.........................-327x + 702
.........................-327x - 1962
---------------------------------------
.................................2664

since you get a remainder, (x+6) is not a factor.

btw, here is a much easier method ...

if f(-6) = 0 , then (x+6) is a factor