First sketch the function, see attachment. The function is a cubic andOriginally Posted byimpreza02

so will have no more than three zeros. From the sketch we can see that

these will be close to and .

Now we will refine these estimates of the zeros using Newton Raphson

iteration. Which is the iteration:

Using our function gives:

For , this gives:

So the root near is .

For , this gives:

So the root near is .

For , this gives:

So the root near is .

RonL