Question

(7x³ + x² + x) ÷ (x² + 1)

Answer 1

7x + 1 Remainder -6x - 1

or

7x + 1 - (6x + 1)/(x² + 1)

Explanation:

(7x³ + x² + x) ÷ (x² + 1)

7x + 1

---------------------

x² + 1 | 7x³ + x² + x

7x³ + 0 + 7x

------------------------

x² - 6x

x² + 0x + 1

--------------------

-6x - 1

(7x³ + x² + x) ÷ (x² + 1) = 7x + 1 Remainder -6x - 1

or

(7x³ + x² + x) ÷ (x² + 1) = 7x + 1 - (6x + 1)/(x² + 1)