p(x) = x^3 – 3x^2 + 4x + 2 , g(x) = x – 1

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 – 3x² + 4x + 2 , g(x) = x – 1

Answer 1

p(x) = x³ – 3x² + 4x + 2,g(x) = x – 1

Dividend = x³ – 3x² + 4x + 2

Divisor = x – 1

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 – 5

Remainder = 13x + 7