Question

Factorise it with explanation. Will mark as brainliest, for a good explanation​

Answer 1

Answer:

0,0,1,2,3

Step-by-step explanation:

x^5 - 6x^4 + 11x^3 - 6x^2 = 0

x^5 - x^4 - 5x^4 + 5x^3 + 6x^3 - 6x^2 = 0

(x^4 - 5x^3 + 6x^2)(x-1) = 0

(x^4 - 2x^3 - 3x^3 + 6x^2)(x-1) = 0

(x^3 - 3x^2)(x-2)(x-1) = 0

(x^2)(x-3)(x-2)(x-1) = 0

Thus roots are 0,0,1,2,3