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Question

Find the zeroes of x3+11x2+23x35 If two of its zeros are 1 and 5.

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Solution

x3+11x2+23x35.=0.......(1)
Given two zero of equation 1 are 1 , & -5 if α,β,γ are zero of equation 1. the
now α,β,γ=11,
α=11(β+γ)=11(15)
α=11+4
[α=7]
Hence its third zero is -7

1188631_1360251_ans_746217e4d0794a3694678cda46f8e259.jpg

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