Math, asked by gulchandak4067, 1 year ago

Find all zeroes of polynomial 2x (cube) x (sq)-6x-3 if two of its zeroes are -(root)3 and (root)3

Answers

Answered by somu5891
1
Let f(x) = 2x3+x2-6x-3 

Given: (x+√3)(x-√3) are the zeros of f(x).

product of zeros = (x+√3)(x-√3) =x2-3 

therefore, on dividing the f(x) with x2-3 , we get, 2x+1

now, 

2x+1=0

2x= - 1

x=(-1/2)

hence, the other zeros are (-1/2)

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