Math, asked by BrainlyHelper, 1 year ago

If two zeroes of x⁴ -6x³ -26x² +138 x -35 are (2±√3) , find other zeroes.

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Answered by nikitasingh79
31
SOLUTION IS IN THE ATTACHMENT

Method of finding the remaining zeroes of a polynomial when some of its zeros are given:

Suppose a polynomial of degree 3 or 4 or more and its some zeroes, (two or three) are given then to find others zeroes,we firstly write the factor of polynomials using given zeroes and multiply them to get g(x).Then divide the given polynomial by g(x).

The quotient so obtained gives the other zeroes of given polynomial and we factorise it to get other zeroes.

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