Question

if alpha and beta are the zeroes of p(x)=2x^2-5x+7 find a polynomial whose zeroes are 2alpha +2beta​

Answer 1

Answer : p(x)=x^2-5x+7

Answer 2

Step-by-step explanation:

$2 {x}^{2} - 5x + 7 \\ equation \: with \: roots \: \alpha \: and \: \beta \: is \\ {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ equation \: with \: roots \: 2 \alpha \: and \: 2 \beta \: is \: \\ {x}^{2} - 4 ( \alpha + \beta ) + 4 \alpha \beta \\ 2 {x}^{2} - 20x + 28$