Write the function in form f(x)=(x-k)q(x)-r

My dilemma isn't so much how to do synthetic division or how to write the results into the given form.I don't understand the answer that is given in the answer key for this problem.Obviously,I don't want to simply know the answer,I want to understand it.So,for this problem I'm supposed to write the function f(x)=(x-k)q(x)-r,and show that f(k)=r.

$\displaystyle f(x)= -4x^3+6x^2+12x+4, k = 1{\sqrt{3}}$

The squares are just confusing me.Thanks for taking a look.

Re: Write the function in form f(x)=(x-k)q(x)-r

Quote:

Originally Posted by

**Ai Ekio** My dilemma isn't so much how to do synthetic division or how to write the results into the given form.I don't understand the answer that is given in the answer key for this problem.Obviously,I don't want to simply know the answer,I want to understand it.So,for this problem I'm supposed to write the function f(x)=(x-k)q(x)-r,and show that f(k)=r.

$\displaystyle f(x)= -4x^3+6x^2+12x+4, k = 1{\sqrt{3}}$

The squares are just confusing me.Thanks for taking a look.

You said that you're not getting an answer that matches the answer given, so please post what you have done...