Question

Apply division algorithms to find the quotient q (x) and remainder r(x) an dividing f(x) by g (x) where f (x) = x3 - 6x2 + 11x-6,g (x) = x2 +x+1​

Answer 1

Answer:

(x)=x

3

−6x

2

+11x−6,g(x)=x

2

−5x+6

Dividend =x

3

−6x

2

+11x−6

Divisor =x

2

−5x+6

Here, dividend and divisor both are in the standard form.

Now, on dividing p(x) by g(x) we get the following division process

Quotient =x−1

Remainder =6x