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We will use the complete the square method to complete the polynomial $\frac{1}{4}y^2-3y$. First, factor both terms by the coefficient of the term $ax^2$, which is $\frac{1}{4}$
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$\left(\frac{1}{4}\left(y^2-12y\right)\right)^2$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (1/4y^2-3y)^2. We will use the complete the square method to complete the polynomial \frac{1}{4}y^2-3y. First, factor both terms by the coefficient of the term ax^2, which is \frac{1}{4}. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -12. Now we can factor y^2+-12x+36 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Multiply -1 times 6.