Question

P(x)=3x^3+x^2+2x+5, r(x)=9x+10 and q(x)=3x-5 find g(x).

Answer 1

Answer:

p(x)=g(x)×q(x)+r(x)

p(x)-r(x)=g(x)×q(x)

p(x)-r(x)/q(x)=g(x)

by division algorithm

3x3+x2+2x+5-9x+10/3x-5=g(x)

g(x)=3x3+x2-7x+15/3x-5