Question

A,b,c are zeroes of cubic polynomial x3-12x3+44x+c. if a,b,c are in

a.p. find the value of c

Answer 1

one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the other two zeroes is
(a) b – a +1               
(b) b – a -1             
(c) a – b +1               
(d) a – b -1

polynomials

Answer 2

sum of roots=-(-12) =12

product of roots= -c

sum of roots taken 2 at a time=44

so the value which satisfies these are -4,-2,-6

i.e. c= -48