Question

factor x^3+5x^2+6x show all work

Answer 1

Firstly you can take out an x as it's common to all,
so you have,
x(x^2+5x+6)
now you have to factor the quadratic (x^2+5x+6)
which is as you should know
(x+3)(x+2)
so x^3+5x^2+6x can be fully factorised as;
x(x+2)(x+3)