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Given that zeroes of cubic polynomial x^...

Given that zeroes of 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 as well as zeroes of the given polynomial.

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To find the values of \( a \) and \( b \) as well as the zeroes of the cubic polynomial \( x^3 - 6x^2 + 3x + 10 \), we can follow these steps: ### Step 1: Identify the polynomial and its coefficients The given polynomial is: \[ f(x) = x^3 - 6x^2 + 3x + 10 \] Here, we can identify the coefficients: ...
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