Obtain all other zeroes of if two of its zeroes areand

p(x) = 3x4+6x3-2x2-10x-5


Since the two zeroes are


is a factor of 3x4+6x3-2x2-10x-5


Therefore, we divide the given polynomial by



3x4+6x3-2x2-10x-5 =


=


we factorize x2+2x+1,


= (x+1)2


Therefore, its zero is given by x + 1 = 0 x = −1


As it has the term (x+1)2, therefore, there will be 2 zeroes at x = −1.


Hence, the zeroes of the given polynomial are , −1 and −1.


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