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CBSE Class 10 Answered

Find a cubic polynomial with the sum, sum of the products of its zeroes of two at a time, and product of its zeroes as 4, 1 and -6 respectively.
Asked by dev680jai | 23 Apr, 2017, 04:29: PM
answered-by-expert Expert Answer
Let α, β and ɣ be the roots of the cubic polynomial.
Given,
(α + β + ɣ) = 4
(αβ+ βɣ + ɣα) = 1
and (αβɣ) = – 6
The cubic polynomial with roots α, β and ɣ is x3 – (α + β + ɣ)x2 + (αβ+ βɣ + ɣα)x – (αβɣ) 
= x3 – (4)x2 + (1)x – (– 6)
= x3 – 4x2 + x + 6 ,
which is the required cubic polynomial.
Answered by Rebecca Fernandes | 24 Nov, 2017, 01:05: PM

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