Question

factorise the polynomial x cube minus 6 X square + 11 x minus 6​

Answer 1

Answer:

x³-6x²+11x-6

if x=1

the polynomial becomes 0.

so, (x-1) is one factor

=>(x-1)(x²-5x+6)

=>(x-1)(x²-2x-3x+6)

=>(x-1)(x-2)(x-3)

Answer 2

Factor the following:

x³- 6 x² + 11 x - 6

The possible rational roots of x^3 - 6 x^2 + 11 x - 6 are x = ± 1, x = ± 2, x = ± 3, x = ± 6. Of these, x = 1, x = 2 and x = 3 are roots. This gives x - 1, x - 2 and x - 3 as all factors:

Answer: |

| (x - 1) (x - 2) (x - 3)