Question

Apply division algorithm to find the quotient g(x) and remainder r(x) an dividing f(x) and g(x) where f(x)=x^3-6x^2+11x-6 and g(x)=x^2+x+1

Answer 1

This possible only by using long division method
NOT BY ALGORITHM
BUT.
YOU CAN JUSTIFY YOUR SOLUTION BY USING
Division algorithm lima

Answer 2

Answer:

The quotient is $q(x)=x-7$ and the remainder is $r(x)=17x+1$

Step-by-step explanation:

The given functions are

$f(x)=x^3-6x^2+11x-6$

$g(x)=x^2+x+1$

The dividend is $f(x)=x^3-6x^2+11x-6$.

Divisor is $g(x)=x^2+x+1$

Apply division algorithm to find the quotient q(x) and remainder r(x) as shown in the below figure.

From the figure it is noticed that the quotient is $q(x)=x-7$ and the remainder is $r(x)=17x+1$.