Question

divide x4+2x3+3x2+2x+30 by x2+2x+2 verify
the division algorithm​

Answer 1

Quotient : x²+1

Remainder : 28

Verify the division

$P(x)=g(x)Q(x)+R(x)$

$(x^2+2x+2)(x^2+1)+28=x^4+2x^3+3x^2+2x+30$

Hence shown.