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 $a$ ($4$) to all terms
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$4\left(x^2-\frac{9}{4}x-\frac{9}{4}\right)$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square 4x^2-9x+-9. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (4) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{9}{4}xx+\frac{81}{64}. Subtract the values -\frac{9}{4} and -\frac{81}{64}.