Question

find a quadratic polynomial whose sum and product of zeros are 2 root 3 and minus 5 root 3​

Answer 1

Let m, n are two zeroes of the quadratic polynomial,

It is given that,

sum of the zeroes = 2√3

m+ n = 2√3

product of the zeroes = -5√3

$mn= - 5√3$

Now,

Form of a quadratic polynomial whose

zeroes are m, nis

$p(x) = x² - (m + n )x + mn$

$= x² - (2√3x + (-5√3)$

$p(x)=x²-2√3x - 5√3$

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