Question

What is the quotient when 2x^3-1 is divided by x - 1?

Answer 1

Explanation:

Use synthetic division:

The coefficients of 2x^3 - 1 are {2, 0, 0, -1}. Setting up synthetic division, we get:

1 / 2 0 0 -1

2 2 2

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

2 2 2 1

Note that the remainder is 1. The same result would be obtained through long division.

The quotient is 2x^2 + 2x + 2 with a remainder of 1.