If x + 1 is a factor of $x^{3} + a$ , then write the value of a.

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Solution

If $x + 1$ is a factor of the polynomial $x^{3} + a$ , then the value of the polynomial will become zero if we substitute $x = - 1$

That is

${(- 1)}^{3} + a = 0$

$- 1 + a = 0$

$a = 1$

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