Question

Factorize: x³ + x - 3x² - 3

Answer 1

x³ + x - 3x² - 3

Taking x common in (x³  + x)

= x (x² +1) - 3x² - 3

Taking -3 common in (-3x²  - 3)

= x(x² +1) - 3(x² +1)

Now, we take (x²  +1) common

= (x² +1)( x - 3)

${\displaystyle \therefore x^3+x-3x^2-3=(x^2+1)(x-3)}$