Question
Given that the zeroes of the cubic polynomial are of the form for some real numbers and , find the values of and .
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Text solutionVerified
Given cubic polynomial is
or
or respectively
The zeros of the polynomial are of the form , and
Then,
Then,
----------------(i)
Also,
----(ii)
----(ii)
and
From (i),
Putting this value in (ii), we get
or
or respectively
From equation (iii), we get
at ,
at ,
which is true.
and at , , we have
and at , , we have
which is not true.
Thus, ,
Zeros of the polynomial are , , ie ,,
Zeros of the polynomial are , , ie ,,
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Question Text | Given that the zeroes of the cubic polynomial are of the form for some real numbers and , find the values of and . |
Answer Type | Text solution:1 |
Upvotes | 150 |