If two zeros of x3 + x2 – 5x – 5 are √5 and –√5 , then its third zero is

Given,


x3 + x2 – 5x – 5


Zeros = √5 and – √5


x2 – 5 is a root



(x2 – 5)(x + 1) = 0


x = – 1


So,


The third zero is – 1

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