SOLUTION: Can you please help me solve this? I have to divide using long division. 98x^3+84x^2-21x+28/7x^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you please help me solve this? I have to divide using long division. 98x^3+84x^2-21x+28/7x^2      Log On


   

Question 189606: Can you please help me solve this? I have to divide using long division. 98x^3+84x^2-21x+28/7x^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You can use polynomial long division, but here's an easier way


%2898x%5E3%2B84x%5E2-21x%2B28%29%2F%287x%5E2%29 Start with the given expression.


%2898x%5E3%2B84x%5E2%29%2F%287x%5E2%29%2B%28-21x%2B28%29%2F%287x%5E2%29 Break up the fraction where two terms are in the numerators


%287x%5E2%2814x%2B12%29%29%2F%287x%5E2%29%2B%28-21x%2B28%29%2F%287x%5E2%29 Factor out the GCF from the first fraction's numerator


%287x%5E2%2814x%2B12%29%29%2F%287x%5E2%29%2B%28-7%283x-4%29%29%2F%287x%5E2%29 Factor out the GCF from the second fraction's numerator


Cancel out the common terms.


14x%2B12-%283x-4%29%2F%28x%5E2%29 Simplify


So %2898x%5E3%2B84x%5E2-21x%2B28%29%2F%287x%5E2%29=14x%2B12-%283x-4%29%2F%28x%5E2%29 where x%3C%3E0