1. ## Factoring a polynomial

Factor x3+8x2+24x+16.

2. ## Re: Factoring a polynomial

There is a standard approach to factorising polynomials. It involves using the factor theorem then either inspection or algebraic division.
Quick google search will give you an example that is relatively easy to follow.
Try it first and post where you get stuck and we can help from there.

3. ## Re: Factoring a polynomial

I did this:
x3+8x2+24x+16
=x(x2+8x+16)+8x+16
=x(x+4)2+8(x+2)
This is where I got stuck.
I haven't learned the factor theorem yet.

4. ## Re: Factoring a polynomial

The polynomial $y=x^3+8x^2+24x+16$ has no rational roots, therefore it is irreducible over the rationals, i.e. it will not factor.