Question

find the quadratic polynomial whose sum and product of its zeros are
$\frac{1}{4} and \: - 1$
​

Answer 1

Answer:

Hey mate, Good evening ❤

#Here's ur answer....☆☆☆

Step-by-step explanation:

$\boxed{ \huge{ \mathcal{ \bigstar{ \pink{answer....}}}}}$

$\bold{if \: \alpha \: and \: \beta \: are \: the \: zeroes \: of \: quadratic }\\ \bold{ polynomial f(x) \: \: \: then = > }\\{ \large{ \boxed{ \red{ {x}^{2} - ( \alpha + \beta )x + \alpha \beta }}}}$

$\bold{ \green{here \: given = > }} \\ \bold{\: \alpha + \beta = \frac{1}{4} }\\ \bold{ \alpha \beta = - 1 }\\ \bold{then \: f(x) = {x}^{2} - ( \alpha + \beta )x + \alpha \beta } \\ = {x}^{2} - ( \frac{1}{4} )x + ( - 1) \\ = {x}^{2} - \frac{1}{4} x - 1 \\ \bold{ \red{ = 4 {x}^{2} - x - 1}} (\blue{answer})$

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Answer 2

Answer:

Above is the solution

Step-by-step explanation:

l hope it is helpful