If x + 1 is a factor of x3 + a, then write the value of a. – InterviewSolution

InterviewSolution

1.

If x + 1 is a factor of x3 + a, then write the value of a.

Answer»

Let, f (x) = x³ + a

(x +1) is a factor of f(x), so f (-1) = 0

f (-1) =0

(-1)³ + a = 0

-1 + a = 0

a = 1

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