Question

Find the polynomial whose zeroes are 2√3and 3√3.

Answer 1

$p(x) = k( {x}^{2} - (\alpha + \beta )x + \alpha \beta)$

$k( {x}^{2} - ( 2 \sqrt{3} + 3 \sqrt{3} ) + 2 \sqrt{3} \times 3 \sqrt{3} )$

there fore the polynomial is

${x}^{2} - 5 \sqrt{3} + 18$