Question

1/4,-1 ..find a quadratic polynomial each with given numbers as the sum 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:

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

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

Answer 2

Answer :

Kindly have a look at the attached picture!

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@LovelyG❤️