SOLUTION: Use synthetic division to find the quotient and the remainder. (2x5 - x4 + 3x2 - x + 5) � (x - 1) I have tried to solve but I dont think I am getting far so far I have 1

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Question 737605: Use synthetic division to find the quotient and the remainder.
(2x5 - x4 + 3x2 - x + 5) � (x - 1)
I have tried to solve but I dont think I am getting far
so far I have
1 | 2 1 0 3 1 5
2 3 6 9 10
2 3 3 9 10 15
I know the 15 will become the remainder
(15/x-1)
But I am lost after that.
Thanks for your help
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
Setting the pieces to perform synthetic division:

1___|___2____-1____3_____-1_____5
____|___.____2_____1_____4______3
___________________________________
________2____1_____4______3_____8

Check about two things in the method. I choose the root being tested-for from the binomial divisor, which is the POSITIVE 1. The first and second row elements are ADDED for obtaining the bottom row elements.

You could backtrack in advancement of method and compare results with regular polynomial division.