Question

Which is the correct form of q(x) + r(x)/b(x) for expression 7x^4+x+14/x+2

Answer 1

(7x^4+x+14)/(x+2)
(7x^4+x+14)----------------------|(x+2)
-14x³+x+14-------------------------7x³-14x²+28x-55------> q(x)
28x²+x+14
-55x+14
110+14=124------------------------> r(x)

 r(x)=124
b(x)=x+2
q(x)=7x³-14x²+28x-55

then
q(x) + r(x)/b(x)---------> (7x³-14x²+28x-55)+(124)/(x+2)

the answer is (7x³-14x²+28x-55)+(124)/(x+2)