If two zeros of x 3 + x 2 – 5x – 5 are √5 and –√5 , then its third zero is

Question

Philoid · Accepted Answer

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