Question
Find the quadratic polynomial whose zeroes are and verify the relationship between the coefficients and the zeroes of the polynomial.
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Text solutionVerified
Let and
Sum of the zeroes =
Product of the zeroes ,
Required quadratic polynomial is
and
sum of the zeroes= \dfrac {5}{12} =\dfrac {(-coefficient \ of \ x )} {( coefficient \ of \ x^2 )}
product of zeroes=\dfrac {-1}6=\dfrac {constant \ term} {coefficient \ of \ x^2}
Sum of the zeroes =
Product of the zeroes ,
Required quadratic polynomial is
and
sum of the zeroes
product of zeroes
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Question Text | Find the quadratic polynomial whose zeroes are and verify the relationship between the coefficients and the zeroes of the polynomial. |
Answer Type | Text solution:1 |
Upvotes | 150 |