Final Answer
$\frac{4273}{16}-16\left(x-\frac{65}{16}\right)^2$
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Step-by-step Solution
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1
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($-16$) to all terms
$-16\left(x^2-\frac{65}{8}x-\frac{3}{16}\right)$
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$-16\left(x^2-\frac{65}{8}x-\frac{3}{16}\right)$
Learn how to solve polynomial factorization problems step by step online. Factor the expression -16x^2+130x+3. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-16) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{65}{8}xx+16.503906. Subtract the values -\frac{3}{16} and -16.503906.
Final Answer
$\frac{4273}{16}-16\left(x-\frac{65}{16}\right)^2$