show that x+2 , x-3 , x+4 are factors of [tex]x^{3} + 3x^{2} - 2x - 24[/tex]
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Step-by-step explanation:
[tex]to \: prove \: we \: have \\ (x + 2)(x - 3)(x + 4) \\ ( {x}^{2} - 3x + 2x - 6)(x + 4) \\ {x}^{3} + 4 {x}^{2} - {x}^{2} - 4x - 6x - 24 \\ {x}^{3} + 3 {x}^{2} - 10x - 24[/tex]