Question 149132
Determine the GCF of:
1) {{{2x+12x^2-2x^3}}}
First, notice that every term There are three terms) has an x in it. The lowest power of these is {{{x = x^1}}}, so this can be factored from the trinomial.
{{{2*x+12x*x-2x^2*x}}} Factor the x.
{{{x(2+12x-2x^2)}}} Further notice that in each term, every coefficient is a multiple of 2, so you can factor 2 from the trinomial.
{{{x(2*1+2*6x-2*x^2)}}} Factor the 2.
{{{2x(1+6x-x^2)}}}
2) {{{27x^4+21x^2-9x}}} Again, every term has an x to some power, and the lowest power is 1 {{{x = x^1}}}. Also, every coefficient is a multiple of 3, so this can be factored.
{{{3x(9x^3+7x-3)}}}