Question

If alpha and beta are the zeros of the polynomials x2 plus 7x plus 12 then find the value of alpha plus beta plus 2alphabeta

Answer 1

X²+7X+12=0

X²+4X+3X+12=0

(X+4)(X+3)=0

the roots are,

-4,-3

so -4+-3+2(-4)(-3)

-7+24=17