128*x^2 + 2464*x + 106572

factorize

asked by guest
on Nov 23, 2024 at 3:41 pm



You asked:

Factor the expression: \(\displaystyle 128 {x}^{2} + 2464 x + 106572\)

MathBot Answer:

Factorization over the rational numbers:

\[4 \cdot \left(32 x^{2} + 616 x + 26643\right)\]

Factorization over the complex numbers:

\[128 \left(x + \left(\frac{77}{8} - \frac{\sqrt{47357} i}{8}\right)\right) \left(x + \left(\frac{77}{8} + \frac{\sqrt{47357} i}{8}\right)\right)\]


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