Originally Posted by

**tsmith** Hey, I am having trouble understanding how to figure this problem out. Any help is appreciated.

Express the function in the form f(x) = (x - k) q(x) + r(x) for the given value of k. Use a graphing utility to demonstrate that **f(x) = r(x)**.

Check **this equation.**

Function: f(x) = 15x^4 + 10x^3 - 6x^2 + 14

Value of k: -2/3

Thanks in advance to anyone who answers.

use synthetic division ...

Code:

-2/3]..15.....10....-6......0.....14
.............-10.....0......4....-8/3
---------------------------------------
......15.....0.....-6......4....34/3

$\displaystyle \left(x + \frac{2}{3}\right)(15x^3 - 6x + 4) + \frac{34}{3x+2}$