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If zeros of x^3 - 3p x^2 + qx - r are in...

If zeros of `x^3 - 3p x^2 + qx - r` are in A.P., then

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To find the relation between \( p \), \( q \), and \( r \) given that the zeros of the polynomial \( x^3 - 3px^2 + qx - r \) are in Arithmetic Progression (A.P.), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Roots**: Let the roots of the polynomial be \( a - d \), \( a \), and \( a + d \), where \( a \) is the middle term and \( d \) is the common difference. 2. **Sum of the Roots**: ...
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