Exercise
$3x^2-x+6$
Step-by-step Solution
Learn how to solve completing the square problems step by step online. Factor the expression 3x^2-x+6. 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}x+\frac{1}{36}. Simplify the addition \left(x- \frac{1}{6}\right)^2+2-\frac{1}{36}.
Factor the expression 3x^2-x+6
Final answer to the exercise
$3\left(x-\frac{1}{6}\right)^2+\frac{71}{12}$