Question

Divide p(X) by g(X) and verify the division algorithm in each of the following cases:
( p(X) = 1+2x-x³+7x², g(X) = x + 1 - x² )

Answer 1

Ans.

p (x) = g ( x )×q( x ) + r

$- x ^{2} + 7x ^{2} + 2x + 1 = (- x ^{2} + x + 1) \times (x - 6) + 7x + 7$
Hence,

q (x) = x-6

r = 7x +7