Question

Divide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in p(x) = x⁴ + 2x³ – 3x² + x – 1, g(x) = x – 2.

Answer 1

p(x) = x⁴ + 2x³ – 3x² + x – 1, g(x) = x – 2

Dividend = x⁴ + 2x³ – 3x² + x – 1

Divisor = x – 2

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) = x³+4x²+5x+11

r(x) = 21