Question

find the solution for the cubic equation x^3-6x^2+11x-6=0​

Answer 1

Answer:

Given

(x^3)-6(x^2)+11x-6=0

let, x=1 is the factor of the equation

1 |1 -6 11 -6

| 0 1 -5 6

-----------------------

1 -5 6 0

hence x=1 is one of the factor

=>x^2-5x+6=0

=>x^2-2x-3x+6=0

=>x(x-2)-3(x-2)=0

=>(x-2)(x-3)=0

hence factor are (x-1)(x-2)(x-3)=0

Step-by-step explanation:

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