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If the zeroes of the polynomial x^3-3x^2...

If the zeroes of the polynomial `x^3-3x^2+x+1`are `a-b , a , a+b`, find `a` and `b`.

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To solve the problem, we need to find the values of \( a \) and \( b \) given that the zeros of the polynomial \( x^3 - 3x^2 + x + 1 \) are \( a-b \), \( a \), and \( a+b \). ### Step-by-Step Solution: 1. **Identify the Polynomial and its Coefficients**: The given polynomial is \( x^3 - 3x^2 + x + 1 \). Here, we can identify the coefficients: - \( a = 1 \) (coefficient of \( x^3 \)) - \( b = -3 \) (coefficient of \( x^2 \)) ...
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