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x^3 - 5x^2 - 2x + 24

= x^3 + 2x^2 - 7x^2 - 14x + 12x + 24

= x^2(x + 2) - 7x(x + 2) + 12(x + 2)

= (x + 2)(x^2 - 7x + 12)

When divided by (x+2), we get

(x + 2)(x^2 - 7x + 12)/(x + 2)

= (x^2 - 7x + 12)

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

= x(x - 4) - 3(x - 4)

= (x - 3)(x - 4)

Thanks for the answer



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