1.

Ifalpha ,beta,gamma are the roots of x^3+px^2+qx+r=0 , then form the cubic equation whoseroots are alpha(beta+gamma),beta(gamma+alpha),gamma(alpha+beta)

Answer»

`x^(3) + 2qx^(2) + (q^(2) + pr) x - R (PQ - r) = 0`
`x^(3) - 2qx^(2) + (q^(2) - pr) x - r (pq - r ) = 0 `
`x^(3) + 2qx^(2) + (q^(2) - pr) x - r (pq - r) = 0 `
`x^(3) - 2PX^(2) + (q^(2) + pr ) x - r (pq - r ) = 0 `

Answer :4


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