Question

find a quadratic polynomial each with the given number as the sum and product of its zeroes .

1) 1/4 , -1



pls give ans. its urgent.
maths. std. 10. ​

Answer 1

Answer:

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$required \: polynomial \\ \\ {x}^{2} - (sum \: of \: zeroes)x + (product \: of \: zeroes) \\ \\ {x}^{2} - \frac{1}{4} x - 1 \: is \: the \: required \: polynomial$

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Answer 2

Answer:

x^2-(alpha +beeta) + alpha×beeta

alpha + beeta = 1/4

alpha × beeta= -1

x^2 - 1/4x-1

Hope it helps...