find the zeroes of the polynomial (i) x^2-x-6 and verify the relation between the zeroes and coefficients of the polynomial
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Hey mate, ur answer is here
x^2-3x+2x-6=0
x(x-3)+2(x-3)=0
(x-3)(x+2)=0
x=3 and x=-2
therefore, the roots of polynomial are 3 and -2.
now,
Relation:
a=1,b=-1and c=-6[from the given eq.]
*sum of the zeros (alpha+beta)=-b/a=-(-1/1)=1
*product of zeros (alpha.beta)=c/a=-6/1=6.
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