How do i do X^8 -X^5 i tried taking out a gcf of X^5 but i dont know if thats right ? If so where to go from their or whats the correct way ? thanks :D

Question

cwrw238 · Answer

x^5 is the correct gcf
now divide x^8 and x^5 by x^5

x^8 / x^5 = x^(8-5) = x^3
and x^5 / x^5 is of course 1

cwrw238 · Answer

so the factors are x^5 (x^3 - 1)

phi · Answer

you could go a little further:
x^3-1= (x-1)(x^2+x+1)  so you could write it as

$$x^5(x^2+x+1)(x-1)$$

anonymous · Answer

Thanks so much to the two of you ! :D