Given that the zeroes of the cubic polynomial \( x^{3}-6 x^{2}+3 x+10 \) are of the form \( a \)...

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Given that the zeroes of the cubic polynomial \( x^{3}-6 x^{2}+3 x+10 \) are of the form \( a \), \( a+b, a+2 b \) for some real numbers \( a \) and \( b \), find the values of \( a \) and \( b \) as well as the zeroes of the given polynomial.
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