Question

find the quadratic polynomials whose zeros are:
a) -√2 and √2​

Answer 1

ANSWER

$\sf{ {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

$\sf{ = {x}^{2} - ( - \sqrt{2} + \sqrt{2} )x + ( - \sqrt{2} \times \sqrt{2} ) }$

$\sf{ = {x}^{2} - 2}$