SOLUTION: Please help me with the following problem. I need to express the following rational expression in lowest terms: 4x^4-10x^3+8x^2 ----------- --- 2x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me with the following problem. I need to express the following rational expression in lowest terms: 4x^4-10x^3+8x^2 ----------- --- 2x      Log On


   

Question 195811: Please help me with the following problem. I need to express the following rational expression in lowest terms:
4x^4-10x^3+8x^2
---------------
2x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%284x%5E4-10x%5E3%2B8x%5E2%29%2F%282x%29 Start with the given expression


%282x%282x%5E3-5x%5E2%2B4x%29%29%2F%282x%29 Factor out 2x from the numerator


%28highlight%282x%29%282x%5E3-5x%5E2%2B4x%29%29%2Fhighlight%282x%29 Highlight the common terms.


%28cross%282x%29%282x%5E3-5x%5E2%2B4x%29%29%2Fcross%282x%29 Cancel out the common terms.


2x%5E3-5x%5E2%2B4x Simplify


So %284x%5E4-10x%5E3%2B8x%5E2%29%2F%282x%29=2x%5E3-5x%5E2%2B4x where x%3C%3E0