find a quadratic polynomial whose sum of zeroes and product of zeroes are given respectively (-2√3),-9 also find their zeroes
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Step-by-step explanation:
Let m , n are two zeroes of a quadratic
polynomial ,
It is given that
sum of the zeroes = m + n = -2³ = -8
product of the zeroes = mn = -9
Now , form of a quadratic polynomial whose
zeroes are m , n is
p ( x ) = x² - ( m + n )x + mn
= x² - ( -8 )x + ( -9 )
= x² + 8x - 9
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