Divide 7x^3 + 11x^2 + 7x + 5 by x^2+1 using long division

Г=long division sign
U divide by da first x^2 and then multiply y da whole thing x^2+1.
Then u subtract daresults from da dividend. Keep doing dat until u can't divide.
7x+11
x^2+1Г 7x^3+11x^2+7x+5
7x^3 7x

11x^2 5
11x^2 11

-6
U can check da answe with this formula:
dividend=quotient+remainder

divisor divisor
So using this formula, u would write:
7x^3+11x^2+7×5=7x+11+-6
---
x^2+1 x^2+1
Substitute x for 1 n solve.
7(1)^3+11(1)^2+7(1)+5

(1)^2+1
=7+11+7+5 30
= ---=15
1+1 2
7(1)+11+-6 18+-6
= =18+-3
(1)^2+1 2
=15
Therefore u can say 15=15 and dat means da answer checks out.