Question

Divide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in p(x) = x³ – 3x²– x + 3, g(x) = x² – 4x + 3

Answer 1

p(x) = x³ – 3x²– x + 3, g(x) = x² – 4x + 3

Dividend = x³ – 3x²– x + 3

Divisor = x² – 4x + 3

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

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

q(x)= x + 1

r(x) = 0