Question

if alpha and beta are zeros of the quadratic polynomial f x is equals to x square - 5 x + 7 find the polynomial whose zeros are 2 alpha + 3 Beta and 3 alpha + 2 Beta ​

Answer 1

Answer:

the standard form is

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

assume

$\alpha + \beta \: be \: s$

and

$\alpha \times \beta \: be \: p$