# What is the greatest common factor of a^3-3a^2+4a?

Hint is given below

#### Explanation:

HINT: The given cubic polynomial ${a}^{3} - 3 {a}^{2} + 4 a$ can be factorized as follows

${a}^{3} - 3 {a}^{2} + 4 a$

$= a \left({a}^{2} - 3 a + 4\right)$

$= a \left(a - \setminus \frac{3 + i \setminus \sqrt{7}}{2}\right) \left(a - \setminus \frac{3 - i \setminus \sqrt{7}}{2}\right)$