Question

(7x^3+x^2+x)/(x^2+1)

Answer 1

The value of the long division of 7·x³ + x²+ x by x² + 1 can be presented as follows;

(7·x³ + x² + x)/(x² + 1) =
`7\cdot x + 1 - (6\cdot x+1)/(x^2+1)`

The steps used to divide (7·x³ + x² + x) by (x² + 1) using long division can be presented as follows;

7·x + 1

(x² + 1)|7·x³ + x² + x

7·x³ + 7·x

x² -6·x

x² + 1

-6·x -1

Therefore, (7·x³ + x² + x)/(x² + 1) is 7·x + 1, reminder -6·x - 1

Therefore, we get; (7·x³ + x² + x)/(x² + 1) = (7·x + 1) - (6·x + 1)/(x² + 1)