Question

Use long division or synthetic division to find the quotient of 2x^3+x^2+1 / x+1

Answer 1

The quotient is 2x^2 - x + 1.

Explanation:

If x + 1 is the divisor in long division, then -1 is the divisor in synthetic division:

-1 / 2 1 0 1

-2 1 -1

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

2 -1 1 0

The quotient is 2x^2 - x + 1. The coefficients were obtained through synthetic division.