How do you change the fraction 4x^3-8x^2+2x-1/2x into a mixed number?

Question

How do you change the fraction 4x^3-8x^2+2x-1/2x  into a mixed number?

matt101 · Answer

Did you mean (4x^3-8x^2+2x-1)/2x?

anonymous · Answer

yes

anonymous · Answer

how would you change that to a mixed expression??

matt101 · Answer

You just divide each term by the denominator:

(4x^3)/2x = 2x^2          -->   "whole number"
(-8x^2)/2x = -4x           -->   "whole number"
2x/2x = 1                      -->   "whole number"
-1/2x = -1/2x               -->   fraction

So the mixed number would be (2x^2 - 4x + 1) and -1/2x.

anonymous · Answer

so it would be 2x^2-4x+1(-1/2x)??

matt101 · Answer

Yes...it's just a little confusing when written like that. For example, take five and three-quarters. The 2x^2-4x+1 is like the five, and the -1/2x is like the three-quarters.

anonymous · Answer

i seee!!!! thank you so much!