Question

Rewrite the expression (17x3 – 12x2 + 6x - 4)/(x – 1) in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b(x) = divisor, using the synthetic division method.

Answer 1

Given that

The equation is

$\frac{17x^3-12x^2+6x-4}{x-1}$

and we have to convert it into the form of

$\begin{gathered} q(x)+\frac{r(x)}{b(x)} \\ where\text{ q\lparen x\rparen is quotient, r\lparen x\rparen is remainder, and b\lparen x\rparen is divisor.} \end{gathered}$