(15/2)*n^2 + (21/2)*n + 8
factorize
You asked:
Factor the expression: \(\displaystyle \frac{15}{2} \cdot {n}^{2} + \frac{21}{2} \cdot n + 8\)
MathBot Answer:
Factorization over the rational numbers:
\[\frac{15 n^{2} + 21 n + 16}{2}\]Factorization over the complex numbers:
\[\frac{15 \left(n + \left(\frac{7}{10} - \frac{\sqrt{519} i}{30}\right)\right) \left(n + \left(\frac{7}{10} + \frac{\sqrt{519} i}{30}\right)\right)}{2}\]\(i\) is the imaginary unit, defined as \(i^2 = -1\).