p(x) = x^3 – 6x^2 + 11x – 6 , g(x) = x^2 – 5x + 6

Question

Apply Division Algorithm to find the quotient q(x) and remainder r(x) on dividing p(x) by g(x) as given below:

p(x) = x³ – 6x² + 11x – 6 , g(x) = x² – 5x + 6

Answer 1

p(x) = x³ – 6x² + 11x – 6,g(x) = x² – 5x + 6

Dividend = x³ – 6x² + 11x – 6

Divisor = x² – 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