Question

Divide using synthetic division.


`(x^(4) -x^(3) +3x^(2) -6x-6)`÷
`(x-2)`

Answer 1

Quotient:
`x^3+x^2+5x+4`

Remainder: 2

Explanation:

To divide
`x^4-x^3+3x^2-6x-6` by
`(x-2)` by synthetic division, we write out the coefficients as shown below;

1 -1 3 -6 -6

2| 2 2 10 8

1 1 5 4 2

The quotient is
`x^3+x^2+5x+4`

The remainder is 2