Factorise : x3 - 6x2 + 11x -6 using FACTOR THEOREM.

f(x) = x3 - 6x2 + 11x - 6
Given that f(1) = 0
factorise f(x) completely

(x3 - 6x2 + 11x - 6)
divided by
(x - 1)
gives
(x2 - 5x + 6)

This quadratic expression
(x2 - 5x + 6)
will now factorise as
(x - 2)(x - 3)

Thus the full factorisation of f(x) is
(x - 1)(x - 2)(x - 3)

  • 51

use trial and error method frst

thn secund long division 

and thd split the middle trm ok 

  • -22

Der is a questin waiting for u ..:)

  • -45
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