Question

If the polynomial x^2+4x+2a are alpha and beta then find the value of a

Answer 1

$if \: the \: roots \: of \: the \: polynomial \\ are \: \alpha \: and \: \beta \\ then \: \alpha + \beta = (- b) \div a \\ and \: \alpha \beta = c \div a \\ so \: \alpha + \beta = ( - 4) \div 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( - 4) \\ and \: \: \alpha \beta = 2a \div 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \:a \: = ( \alpha \beta ) \div 2$

Thankyou!!!