SOLUTION: (48x^5+24x^4-18x^3)/(6x^2)

Question 352551: (48x^5+24x^4-18x^3)/(6x^2)
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Here is a link to help with long division.
http://www.calc101.com/webMathematica/long-divide.jsp#topdoit
But this problem can be solved by factoring

You can further factor the quadractic using the quadratic equation

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=112 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.411437827766148, -0.911437827766148. Here's your graph:

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