Question

factorise : x^5 - 16x​

Answer 1

Factorize :-

x⁵ - 16x

It is given to factorize x⁵ - 16x;

The factorisation will be as follows;

$\: \: \: \:$ x⁵ - 16x

= x(x⁴ - 16)

= (x² - 4)(x² + 4)

= (x - 2)( x + 2)

= x(x - 2)(x + 2)(x² + 4)

Hence, the factorisation of x⁵ - 16x will be x(x - 2)(x + 2)(x² + 4)