solve for x 0=x^3-12x+2

Question

solve for x 0=x^3-12x+2

Answer 1

A little table shows that there are roots between 0 and 1 and between 3 and 4.

A graph shows another root between -3 and -4.

2 rounds of Newton's method gives the approximate root of .167055.

Similar results can be obtained for the other roots.

My graphing calculator gives 3.377552 and -3.544607 as the other 2 roots.