Question

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

Answer 1

Answer:

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

Step-by-step 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.