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let p(x)=x^5+x^2+1 has zeros x1,x2,x3,x4 and x5 and g(x)=x^2-2.Then find the product of g(x1).g(x2).g(x3).g(x4).g(x5)

let p(x)=x^5+x^2+1 has zeros x1,x2,x3,x4 and x5 and g(x)=x^2-2.Then find the product of g(x1).g(x2).g(x3).g(x4).g(x5)
 

Grade:11

1 Answers

Vikas TU
14149 Points
4 years ago
Hiii 
Please check the p(x) 
, It is not decreasing at 0 , 
The minimum value of p(x) is – infinity , It is getting value 1 at both -1 and 0
So, its root will be complex 
You can not find it by Hit and trail , 
You need to find it by some iterative method or through numerical aproach . 
Hope this helps.
cheers

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