Factorise:3x^3+5x^2-11x+3
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3x^3 + 5x^2 - 11x + 3
= 3x^3 + 9x^2 - 4x^2 - 12x +x + 3
= 3x^2 (x +3) - 4x(x+3) + 1(x+3)
= (x+3)(3x^2 - 4x +1)
= (x+3)[ 3x^2 - 3x - x +1]
= (x+3)[ 3x(x-1) - 1(x-1)]
= (x+3)(x-1)(3x-1)
= 3x^3 + 9x^2 - 4x^2 - 12x +x + 3
= 3x^2 (x +3) - 4x(x+3) + 1(x+3)
= (x+3)(3x^2 - 4x +1)
= (x+3)[ 3x^2 - 3x - x +1]
= (x+3)[ 3x(x-1) - 1(x-1)]
= (x+3)(x-1)(3x-1)
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