last check for the night...
x^6 + x^2
_______________
x

x^6+x ? @satellite73 and @jim_thompson5910

Question

last check for the night...
x^6 + x^2
_______________
       x

x^6+x  ? @satellite73 and @jim_thompson5910

geerky42 · Answer

Factor x out in numerator. 
$$\dfrac{x^6 + x^2}{x} = \dfrac{x(x^5+x)}{x} = \boxed{x^5+x}$$
Does this make sense?

anonymous · Answer

no, how did you get 5?

geerky42 · Answer

Well, I factored x out. $$x^6 = x\cdot x^5$$

geerky42 · Answer

$$\large x = x^1$$$$\large x\cdot x^5 = x^{5+1} = x^6$$

jim_thompson5910 · Answer

or you can divide x^6 by x to get x^5 

then you can divide x^2 by x to get x

so that's another way to get the answer of x^5 + x

anonymous · Answer

Ok... i see where I went wrong... thank you both. :)

geerky42 · Answer

Yep. $$\dfrac{x^6 + x^2}{x} = \dfrac{x^6}{x}+\dfrac{x^2}{x}$$

geerky42 · Answer

Glad we helped.