Find a quadratic polynomial of the following as the sum and product of its zeroes
respectively. ( 1 )
1/4 , -1
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Step-by-step explanation:
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Answer:
The given roots are 1/4 and -1.
Therefore, sum of the roots, S = 1/4 + (-1) = -3/4
And the product of the given roots, P = 1/4 × -1 =
-1/4 .
Therefore, the required equation is x2 – Sx + p
i.e., x2 - (sum of the roots)x + product of the roots = 0
i.e., x2 - (-3/4)x – (-1) = 0
i.e, 2x2 + 3/4 x + 1 = 0 ( ans )..
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