find all the zeros of the polynomial 2 x power 4 minus 2 x cube + 7 x square + 3 X + 6 if two of its zeros are minus root 3 divided by 2 and root 3 divided by 2
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alpha +beta =-3/2root and +3/2root
=0
alpha*beta =-3/root2 * and3/root2
=-3/2
the needed polynomial is
x²-(sum) x +product
x²-0x+(-3/2)
x²-3/2
2x²-3/2x³+7x²+3x+6
and the quotient which comes out should be factorised and we will get the zeroes
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