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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 \( a-b, a, a+b \). ### Step-by-Step Solution: 1. **Identify the Zeros**: Let the zeros of the polynomial be: - \( \alpha = a - b \) - \( \beta = a \) ...
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