Final answer to the problem
$f\left(x\right)=\frac{3\left(3x^2+2\right)\left(2x^{3}+1\right)}{\left(1+2x\right)x^2}$
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Step-by-step Solution
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- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Factor the polynomial $\left(6x^3+3\right)$ by it's greatest common factor (GCF): $3$
$f\left(x\right)=\frac{3\left(3x^2+2\right)\left(2x^{3}+1\right)}{\left(1+2x\right)x^2}$
Final answer to the problem
$f\left(x\right)=\frac{3\left(3x^2+2\right)\left(2x^{3}+1\right)}{\left(1+2x\right)x^2}$