x ^ 3 3 x ^ 2 9x 5=0⟶ (1) Putting x= 1 in (1), the equation satisfies the condition #160; (x+1) is the factor of the equation #160;hence, ...

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Factorisation by Common Factors

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Question

Solve : $x^{3} - 3 x^{2} - 9 x - 5$

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Solution

$x^{3} - 3 x^{2} - 9 x - 5 = 0 ⟶ (1)$
Putting $x = - 1$ in (1), the equation satisfies the condition
$(x + 1)$ is the factor of the equation
hence, $(x + 1) (x^{2} - 4 x - 5) = 0 \Rightarrow (x + 1) (x + 1) (x - 5) = 0 \Rightarrow x = - 1; - 1; 5$

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Solve: $x^{3} - 3 x^{2} - 9 x - 5$

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