Factor by grouping : x^3-4x^2+3x-12

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The factors of the expression x^3-4x^2+3x-12 have to be determined.

x^3-4x^2+3x-12

= x^2(x - 4) + 3(x - 4)

= (x^2 + 3)(x - 4)

The factorized form of x^3-4x^2+3x-12 = (x^2 + 3)(x - 4)