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## Homework Statement

Use Newton's Method to find the critical numbers of the function f(x) = 2x^5 - 5x^2 - 20x + 12 correct to three decimal places

## Homework Equations

## The Attempt at a Solution

f'(x) = 10x^4-10x-20

= 10(x^4-x-2)

= 10(x+1)(x^3-x^2+x-2)

I'm not really sure what Newton's method is, so I just tried factoring the derivative, but I can't factor it any further and I don't know what to do from here. HELP!