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 $a$ ($3$) to all terms
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$3\left(x^2-\frac{1}{3}x+1\right)$
Learn how to solve polynomial factorization problems step by step online. Factor the expression 3x^2-x+3. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (3) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{1}{3}xx+\frac{1}{36}. Subtract the values 1 and -\frac{1}{36}.