SOLUTION: I need help on dividing this equation. My answer does not make sence to me. The equation is 2x^2+4 / 2x My answer is x +2 where did I go wrong? Please help.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help on dividing this equation. My answer does not make sence to me. The equation is 2x^2+4 / 2x My answer is x +2 where did I go wrong? Please help.      Log On


   

Question 192243: I need help on dividing this equation. My answer does not make sence to me. The equation is
2x^2+4 / 2x
My answer is x +2 where did I go wrong? Please help.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




You can factor the numerator by taking out factors that are common to both terms only.



Now you have a factor of 2 that is common to both numerator and denominator, so that can go away.



That's as far as you can go with this ugly red-headed step-child. Put him in the back bedroom when company comes calling.

You tried to take a factor of x from just the first term of the numerator and to ignore the second term of the numerator. Can't do that. Each term (that's a chunk separated by plus and minus signs) requires absolutely fair treatment. What you do to one, you have to do to all of them or you can't do it to the one in the first place. Sort of like not being able to chew gum in class unless you brought enough for everyone.

John