Question

find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively
-1/4,1/4.​

Answer 1

$given \\ \alpha +\beta= \frac{ - 1}{4} \\ \alpha\beta = \frac{1}{4} \\ the \: q \: e \: is \\ {x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0 \\ {x}^{2} + (\frac {-1}{4})x - \frac{1}{4} = 0 \\ 4 {x}^{2}+x +1 = 0$

hope it helps

Answer 2

7Hey Ma8,
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α+β = -b/a = -(+1)/4

α×β = C/a = 1/4

quadratic polynomial is in The form of ax^2 + bx + c

4x^2 + 1x + 1

hence required number is 4x^2 + 1x + 1


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this is right ans
you also see in ncert book 10th exercise 2.2 question 2 part 5

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