SOLUTION: I do not know where to begin? 4x^4-10x^3+8x^2/2x I am supposed to express in the lowest term.

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Question 188658: I do not know where to begin? 4x^4-10x^3+8x^2/2x I am supposed to express in the lowest term.
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%5E2%282x%5E2-5x%2B4%29%29%2F%282x%29 Factor out the GCF 2x%5E2 from the numerator


%282x%2Ax%282x%5E2-5x%2B4%29%29%2F%282x%29 Factor x%5E2 to get x%2Ax


%28highlight%282x%29%2Ax%282x%5E2-5x%2B4%29%29%2Fhighlight%282x%29 Highlight the common terms.


%28cross%282x%29%2Ax%282x%5E2-5x%2B4%29%29%2Fcross%282x%29 Cancel out the common terms.


x%282x%5E2-5x%2B4%29 Simplify


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


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