polynomials unit b.o.b

This unit we learned about about polynomials and how to factor them.  This was my favorite unit because I always wondered how to convert equations from standard form into factored form.  I mainly enjoyed factoring third degree equations by using the difference of cubes.  Here is an example.

a^3 + b^3 = (a + b)(a^2 + ab + b^2)

if you have the equation 125x^3 + 64 your sum of cubes would look like

(5x + 4)(25x^2 + 20x + 16)

Sometimes, you can factor out the second part of the equation, but in this case you cannot and this equation will only give you one x intercept at -4/5.