Question

if two zeros of of x^3+x^2-5x-5 are root 5 and - root 5 ,then the third zero is





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Answer 1

x 3 + x2 – 5x – 5

Zeros = √5 and – √5

x^ 2 – 5 is a root

Now, (x^3+x^2-5x-5)/x^2-5= x+1

(x^2 – 5)(x + 1) = 0

x = – 1

So,

The third zero is -1