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0 votes
2.9k views
in Polynomials by (36.4k points)
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If two zeros of x3 + x2 – 5x – 5 are √5 and –√5 , then its third zero is

A. 1

B. – 1

C. 2

D. – 2

1 Answer

+1 vote
by (38.0k points)
selected by
 
Best answer

Given,

x 3 + x2 – 5x – 5

Zeros = √5 and – √5

x 2 – 5 is a root

(x2 – 5)(x + 1) = 0

x = – 1

So,

The third zero is – 1

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