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f(x)=x3−12x2+19x−28
Zeroes are in AP.
Let the zeroes be of the form
a-d,a,a+d
sum of roots = 12
3a=12
a = 4
product of roots =−ad
a(a2−d2)=(−28)
a3−ad2=28
(4)3−4d2=28
64−4d2=28
4d2=36
d=±3
Zeroes are 1,4,7 or 7,4,1
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