X4+x3-34x2-4x+120;2,-2 are the two zeroes of this polynomial find the other two zeroes
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since 2 and -2 are the zeroes of the given equation so x-2 and x+2 will be the factors
To get the remaining zeroes we will divide
X4+x3-34x2-4x+120 by X2-4
the quotient will be X2+X-30
This quotient also consist the factors of X4+x3-34x2-4x+120
Using quadratic formula
the roots will be 5 and -6
since 2 and -2 are the zeroes of the given equation so x-2 and x+2 will be the factors
To get the remaining zeroes we will divide
X4+x3-34x2-4x+120 by X2-4
the quotient will be X2+X-30
This quotient also consist the factors of X4+x3-34x2-4x+120
Using quadratic formula
the roots will be 5 and -6
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