Question

write a polynomial whose zeros are -2√3 and √3​

Answer 1

Answer:

$roots \: given \: are \: - 2 \sqrt{3} and \: \sqrt{3}$

$let \: the \: roots \: be \: a \: and \: b$

$polynomial \: p(x) = {x}^{2} - (a + b)x + ab$

$so \: p(x) = {x}^{2} - ( - 2 \sqrt{3} + \sqrt{3} )x + ( - 2 \sqrt{3} \times \sqrt{3} )$

$p(x) = {x}^{2} + \sqrt{3} x - 6$

Therefore the polynomial p(x)=x^2+root3 x-6