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Obtain all the zeros of the polynomial f...

Obtain all the zeros of the polynomial `f(x)=3x^4+6x^3-2x^2-10 x-5,` if two of its zeros are`sqrt()a n d-sqrt(5/3)`

Text Solution

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Two zeroes are `sqrtfrac{5}{3}` and `-sqrtfrac{5}{3}`
so we can write it as,`x=sqrtfrac{5}{3}` and `x=-sqrtfrac{5}{3}`
we get `x-sqrtfrac{5}{3}=0` and` x+sqrtfrac{5}{3}=0`
Multiply both the factors we get,`x^2-frac{5}{3}=0`
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