X^3-36x in factored form

Question

write each polynomial in factored form.

x^3-36x

Answer 1

Factor our what's common to all (both terms):  x (x² - 36).  x * x = x².  Now what times what = 36, or what is the √36?  6 x 6 = 36, and +6 x -6 = -36.  

So now we have x (x+6) (x-6)