Question

a quadratic polynomial whose zeroes of the polynomial are 2 + i and 2 - i

Answer 1

Answer:

$\alpha + \beta = 2 + i$

$\alpha \beta = 2 - i$

$the \: qudratic \: equation \: is \: given \: by$

$x ^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

$x^{2} - 2x + ix + 2 - i = 0$

Eq/_