(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

First find all rational zeros off, then use the depressed equation to find all roots of the equationf(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?

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# Help Finding Roots of Polynomial

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