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

Dividing the polynomial:
[tex]P(x)=2x^4-x^3+2x^2-6[/tex]By
[tex](x-2)[/tex]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)