Factorize $16x^{4}$ - 686x

asked by guest
on Jun 03, 2023 at 1:30 am

You asked:

Factor the expression: \(\displaystyle 16 \cdot {x}^{4} - 686 x\)

MathBot Answer:

Factorization over the rational numbers:

\[2 x \left(2 x - 7\right) \left(4 x^{2} + 14 x + 49\right)\]

Factorization over the complex numbers:

\[16 x \left(x - \frac{7}{2}\right) \left(x + \left(\frac{7}{4} - \frac{7 \sqrt{3} i}{4}\right)\right) \left(x + \left(\frac{7}{4} + \frac{7 \sqrt{3} i}{4}\right)\right)\]


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

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