Question

Solve 2x^3-3x^2-10x+24=0​

Answer 1

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■GIVEN EQUATION=

${x}^{3} - 3 {x}^{2} - 10x + 24 = 0$

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■SOLUTION:-

Factor the given expression using root rational testOne of the root is 3,

$(x-3)(x^2+6x+8)$

Now, solving quadratic by middle term split.

$(x-3)(x^2+4x+2x+8)$

$(x-3)(x(x+4)+2(x+4))$

$(x-3)(x+4)(x+2)$

Therefore, Factories form of the given expression is

$\\ = x^3-3x^2-10x+24 \\ =(x-3)(x+4)(x+2)$

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HOPE IT HELPS YOU!!!

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