Factorize 5x³ - 135
5, x - 3, x² + 3x + 9, All of the above

Solution:

Given 5x³ - 135

Let us factor the polynomial

= 5(x³ - 27)

= 5(x³ - 3³ )

This is the form a³-b³ = (a - b) (a² + ab + b² )

a= x and b= 3

5(x-3)(x² + 3x + 9)

Here, 5, x-3, (x² + 3x + 9) are three factors of the given function

Factorize 5x³ - 135
5, x - 3, x² + 3x + 9, All of the above

Summary:

By factorising 5x³ - 135 we get 5, x-3, x² + 3x + 9 as its factors.