Factories x^3-6^2+11x-6
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x^3-6x^2+11x-6
Put x=1
then,p(x)=1^3-6*1^2+11*1-6
p(x)=1-6+11-6=12-12=0
So, x=1
x-1 is a factor
Now, x^3-6x^2+11x-6
x^3-x^2-5x^2+5x+6x-6
x^2(x-1)-5x(x-1)+6(x-1)
(x^2-5x+6)(x-1)
x^2-3x-2x+6
x(x-3)-2(x-3)
(x-2)(x-3)
(x-1)(x-2)(x-3)
Put x=1
then,p(x)=1^3-6*1^2+11*1-6
p(x)=1-6+11-6=12-12=0
So, x=1
x-1 is a factor
Now, x^3-6x^2+11x-6
x^3-x^2-5x^2+5x+6x-6
x^2(x-1)-5x(x-1)+6(x-1)
(x^2-5x+6)(x-1)
x^2-3x-2x+6
x(x-3)-2(x-3)
(x-2)(x-3)
(x-1)(x-2)(x-3)
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