Stuck on a further pure question, asked one of my maths teachers today but she hadn't done most of the paper in 20 years.

Here's the question:

Given that the roots of the cubic equation

are determine the cubic equation with roots

All I have so far is

I assume the new equations will looks like:

I'm pretty sure the coefficient of the term will be which equals 3.

And for the constants:

I think I'm correct so far (may be some typos though), but I don't know how to get the x term.

Thanks.

edit

I got it, just factoring the coefficients of the x term:

brain ache now.