## Help Finding Roots of Polynomial

1. The problem statement, all variables and given/known data
First find all rational zeros of f, then use the depressed equation to find all roots of the equation f(x) = 0.
f(x) = x^3 + 5x^2 - 8x + 2

2. Relevant equations

3. The attempt at a solution
Possible rational zeros: 2, -2, 1, -1
Synthetic division:

1 | 1 5 -8 2
_____1 6 -2
=============
1 6 -2 0

Quotient: x^2 + 6x - 2
Factored: (x + 3)^2 - 11

I would think that the answer would just be x = -3 ± √(11) but the answer in the book says: {1, -3 ± √(11)}
Where'd the 1 come from?
 PhysOrg.com science news on PhysOrg.com >> Ants and carnivorous plants conspire for mutualistic feeding>> Forecast for Titan: Wild weather could be ahead>> Researchers stitch defects into the world's thinnest semiconductor
 Recognitions: Homework Help Remember, you divided by (x-1), so your equation become (x-1)(x^2+6x-2)=0 -> x= 1 in addition to the other roots you found.
 Ohhhhhhh! I see now, thank you!

## Help Finding Roots of Polynomial

synthetic division, oh lord
if you want a nicer division algorithm try this