?, ?, ? are zeros of polynomial x3 + px2 + qx + 2 such that ?. ? + 1 = 0. Find the value of 2p + q + 5.

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Chandrakanth

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x3+ px2 +qx+2 α+β+γ=-p...(1) αβ+βγ+γα=q...(2) αγβ=-2..(3) αβ+1=0(given) From eq(3)..γ=2 2p+q+5=-2(α+β+γ)+(αβ+βγ+γα)+5 =-2(α+β+2)+(-1+2β+2α)+5 ...
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x3+ px2 +qx+2 α+β+γ=-p...(1) αβ+βγ+γα=q...(2) αγβ=-2..(3) αβ+1=0(given) From eq(3)..γ=2 2p+q+5=-2(α+β+γ)+(αβ+βγ+γα)+5 =-2(α+β+2)+(-1+2β+2α)+5 =0 ∴2p+q+5=0. read less
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