Question

2x^4-3x^3+5x^2-4x-3÷x-2

Answer 1

Please refer to the image

Answer 2

Let p(x)=If $2 x^{4}-3 x^{3}+5 x^{2}-4x-3$ and
g(x)=x-2
If p(x) is divided by g(x),
Then by remainder theorem,
Remainder=p(2) {since p(x)=0, p(x)=x-2 ⇒x=2}
                 =$2(2)^{4}-3(2)^{3}+5(2)^{2}-4(2)-3$
                 =2(16)-3(8)+5(4)-4(2)-3
                 =32-24+20-8-3
                 =52-35
                 =17