Question

sum of zeros -2 And the product of zeros -5 which quadratic polynomial

Answer 1

We know,

Quadratic equation : x² - (sum of zeroes) x + (product of zeroes)


Polynomial => x² - (- 2)x + (-5)

Polynomial => x² + 2x - 5

Answer 2

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$\huge \bf \underline{Here \: is \: your \: answer↓}$

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▶⏩It is given that:-)

↪➡Sum of zeros = -2.
$\huge \sf{ \alpha + \beta = - 2.}$

↪➡ product of zeros = -5.
$\huge \sf{ \alpha . \beta = - 5.}$

▶⏩Then, find the quadratic polynomial:-)

↪➡ The required quadratic polynomial is:-)

$\sf \bf{ = {x}^{2} - ( \alpha + \beta )x + ( \alpha . \beta ).}$

$\boxed{put \: the \: value \: of \: \alpha + \beta \: and \: \alpha . \beta .}$

$\sf \bf{ = {x}^{2} - ( - 2)x + ( - 5).}$

$\huge \boxed{ = {x}^{2} + 2x - 5.}$

✅✅ Hence, the required quadratic polynomial is finded.✔✔

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$\huge \bf \underline{Hope \: it \: is \: helpful \: for \: you}$