Final Answer
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 $a$ ($6$) to all terms
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$\frac{6\left(x^2+\frac{1}{6}x-\frac{1}{6}\right)}{x-3}$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (6x^2+x+-1)/(x-3). Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (6) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{1}{6}x+\frac{1}{144}. Subtract the values -\frac{1}{6} and -\frac{1}{144}.