Question

find quadratic polynomial whose alfa+beta= -2√3 and alfa* beta= -9

Answer 1

Hii friend,

Sum of zeros = (Alpha + Beta) = -2✓3

and,

Product of zeros = (Alpha × Beta) = -9

Therefore,

Required Quadratic polynomial = X²-(Alpha + Beta)X + Alpha × Beta

=> X²-(-2✓3)X + (-9)

=> X²+2✓3X-9

HOPE IT WILL HELP YOU..... :-)

Answer 2

Hey friend here is your answer

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◆Quadratic polynomial= x^2-(sum of zeros)x+(product of zeros)

$\alpha + \beta = -2 \sqrt{3}$

$\alpha \beta = - 9$

◆x^2-(-2√3)x+(-9)

◆x^2+2√3x-9

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⭐️Hope it helps you⭐️