Question

find a quadratic polynomial each with a given numbers as the sun and product of its zeroes respectively

Answer 1

We know that,

★Sum of zeroes = -b/a

★ product of zeroes= c/a

now,

Acc to question:

$\alpha + \beta = \frac{1}{4} = \frac{ - b}{a} \\ \\ \alpha \times \beta = - 1 \times \frac{4}{4} = \frac{ - 4}{4} = \frac{c}{a}$
→ On comparing it with ax^2+bx+c , we have,

$4 {x}^{2} - x - 4$
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Answer 2

Answer:

Kindly have a look at the attached picture!

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@LovelyG❤️