Find a cubic polynomial with the sum sum of the product of its zeros taken two at a time and product of its zeroes
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Answered by
5
Answer:
Step-by-step explanation:
Value is not given in your question but whatever value it is you can put in this...
I gave a just for example...
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.
Hope it helps you....
Answered by
0
Answer:
- x3-4x2+x+6 .......
Step-by-step explanation:
....
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