Question

P(x) = 2x + x3 + 2x2 - 6What is the remainder when P(x) is divided by (x-2)?|

Answer 1

Dividing the polynomial:

`P(x)=2x^4-x^3+2x^2-6`

By

`(x-2)`

Steps using synthetic division:

1. Set up the synthetic division:

2. Bring down the leading coefficient to the bottom row:

3. Multiply the 2 by the value just written on the bottom row and put this value right beneath the next coefficient in the dividend:

4. Add the column created in step 3 and write the result in the bottom row:

5. Repeat until done:

The final value on the right is the remainder (10)