factorize ($3s^{2}$+$3s$+$2$)

asked by guest
on Oct 26, 2024 at 12:26 pm



You asked:

Factor the expression: \(\displaystyle 3 \cdot {s}^{2} + 3 s + 2\)

MathBot Answer:

Factorization over the real numbers:

\[3 \cdot \left(1 s^{2} + 1 s + 0.666666666666667\right)\]

Factorization over the complex numbers:

\[3 \left(s + \left(\frac{1}{2} - \frac{\sqrt{15} i}{6}\right)\right) \left(s + \left(\frac{1}{2} + \frac{\sqrt{15} i}{6}\right)\right)\]


\(i\) is the imaginary unit, defined as \(i^2 = -1\).