SELECT * FROM question_mgmt as q WHERE id=9498 AND status=1 SELECT id,question_no,question,chapter FROM question_mgmt as q WHERE courseId=9 AND subId=6 AND chapterId=269 and ex_no='2' AND status=1 ORDER BY CAST(question_no AS UNSIGNED)
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(i) Let α, β are the zeroes of the polynomial ax2+ bx +c, therefore
Sum of zeroes (α + β) = 1/4 = -b/a
Product of zeroes (αβ) = -1 = c/a
On comparing,
a = 4, b = -1 and c = - 4
Hence, the required polynomial is 4x2 –x – 4
(ii)
(iii)
Let α, β are the zeroes of the polynomial ax2+ bx +c, therefore
Sum of zeroes (α + β) = 0 = -b/a
Product of zeroes (αβ) = √5 = √5/1 = c/a
On comparing,
a = 1, b = 0 and c = √5
Hence, the required polynomial is x2 + √5
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