Question

Verify division algorithem for the polynomials p(x) =2x+3 and g(x) =x+2

Answer 1

p(X) = 2x+3

g(X) = X+2

q(X) = 2

r(X) = -1

By division algorithm

p(X) = q(X)×g(X)+ r(X)

= (X+2)(2) + -1

= 2x+4 -1

= 2x +3

Hence , verified