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We will use the complete the square method to complete the polynomial $2x^2-5x$. First, factor both terms by the coefficient of the term $ax^2$, which is $2$
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$\left(2\left(x^2-\frac{5}{2}x\right)\right)^2$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (2x^2-5x)^2. We will use the complete the square method to complete the polynomial 2x^2-5x. First, factor both terms by the coefficient of the term ax^2, which is 2. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -\frac{5}{2}. Now we can factor x^2+-\frac{5}{2}x+\frac{25}{16} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Multiply -1 times \frac{5}{4}.