Use Newton's method to find all the roots of the equation correct to eight decimal places. Start by drawing a graph to find initial approximations. x^6 - x^5 - 6x^4 - x^2 + x + 8 = 0

Answer 1

Hint:
There are 4 real roots and 2 complex roots. The 4 real roots lie between -2 and +3.

Answer 2

Also, read:
http://www.math.montana.edu/frankw/ccp/calculus/numerical/newton/learn.htm

as suggested by Mr. Pursley.

See also example:

http://www.jiskha.com/display.cgi?id=1288905148