find quadratic polynomial sum of
it's zeroes
is -1/4 and product of
its zeroes is 1/4
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Answer:
the ans is in the above snap
Step-by-step explanation:
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Answered by
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Required Answer:
We have:-
- Sum of the zeroes = -1/4
- Product of zeroes = 1/4
To FinD:-
- The Quadratic polynomial with the given sum of zeroes and product of zeroes
Solution:-
When the sum of zeroes and product of zeroes of a quadratic polynomial is given, then the quadratic polynomial is:
= x² - (sum of zeroes)x + product of zeroes.
Now, plugging the values to determine:
= x² - (-1/4)x + 1/4
= x² + 1/4 x + 1/4
= 4x² + x + 1
Therefore:-
The required polynomial is k(4x² + x + 1)
Know more:
Similarly you can determine any ciluvic polynomial when:
- Sum of zeroes.
- Product of zeroes taken two at a time.
- Product of zeroes.
Is given in the question. Or else, the zeroes are provided directly.
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