Question

Find the quadratic polynomial whose
zeroes are are â3and -â3

Answer 1

Step-by-step explanation:

$Let \: \alpha \: and \: \beta \: be \: the \: zeros \: of \: the \\ \: required \: quadratic \: polynomial. \\ \therefore \: \alpha = {a}^{3} \: and \: \beta = - {a}^{3} \\ \\ now \\ \alpha + \beta = {a}^{3} - {a}^{3} = 0 \\ \alpha \beta = {a}^{3}( - {a}^{3}) = - {a}^{6} \\ required \: quadratic \: polynomial \: \\ is \: given \: as \\ {x }^{2} - ( \alpha + \beta )x + \alpha \beta \\ = {x}^{2} - (0)x + ( - {a}^{6} ) \\ = {x}^{2} - {a}^{6}$