What is the quotient when (3x3−1) is divided by (x2+1)?

Sagot :

To find the quotient using either Synthetic or Long Algorithm, insert 0x² + 0x, between the terms in the dividend 3x³ and -1:

3x³ + 0x² + 0x -1 ÷ x² + 1

The quotient is:
3x - 3x-1
       x²+1

Where 3x-1 is the remainder.