Question

\(3x^6-13x^5+19x^4-26x^3+19x^2-13x+3=0\)

Answer 1

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<=> 3x^5(x-3) - 4x^4(x-3) + 7x^3(x-3) - 5x^2(x-3) + 4x(x-3) - (x-3) = 0 

<=> (x-3)(3x^5 - 4x^4 + 7x^3 - 5x^2 + 4x - 1) = 0 

<=> (x-3)[3x^4(x-1/3) - 3x^3(x-1/3) + 6x^2(x-1/3) - 3x(x-1/3) + 3(x-1/3)] = 0 

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

<=> (x-3)(x-1/3)[3(x^4+2x^2+1) - 3x(x^2+1)] = 0 

<=> (x-3)(x-1/3)(x^2+1)[3(x^2+1) - 3x]  = 0 

<=> 3(x-3)(x-1/3)(x^2+1)(x^2+1-x) = 0 

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