Question

if alpha and beta are the zeros of polynomial X square + 7 x + 12 then find the value of alpha + beta + 2 alpha beta​

Answer 1

Answer:

Step-by-step explanation:

QUADRATIC EQUATION =x²+7x+12

HERE,a=1 , b =7 , c=12

alpha + beta = -b/a

                     = -7

alpha*beta = c/a

                  =12

THEN,

alpha + beta+2* alpha *beta = -7+2*12

                                               =-7+24

                                               =17 ANS

HOPE IT HELPS.............

Answer 2

given polynomial = x^2 + 7x + 12

=x^2 + 7x + 12

=x^2 + 4x + 3x + 12

= x(x +4) +3(x + 4)

= (x + 4) (x +3)

x = -4 , x = -3

alpha = -4 , beta = -3

alpha + beta + 2 alpha beta

= -4 + (-3) + 2(-4× -3)

= -7 + 2(12)

= -7 +24

= 17