Final answer to the problem
Step-by-step Solution
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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($2$) to all terms
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$\frac{2\left(x^2+\frac{1}{2}x+\frac{1}{2}\right)}{4x^3-x}$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (2x^2+x+1)/(4x^3-x). Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{1}{2}x+\frac{1}{16}. Subtract the values \frac{1}{2} and -\frac{1}{16}.