An algebra problem by budhadev parida

Algebra Level pending

Given that the zeroes of the cubic polynomial x^3 - 6x^2 +3x +10 are of the form a, a+b, a+2b for some real numbers 'a' and 'b', find the values of 'a' and 'b' and the zeroes of the given polynomial.

when a=5,b=4 and a=-1,b=-2, zeroes are 1,2,5 when a=5,b=-3 and a=-1,b=3, zeroes are -1,2,5 when a=5,b=4 and a=-2,b=3, zeroes are -1,2,4 when a=4,b=-3 and a=-1,b=2, zeroes are -1,-2,5

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