Question

If x+2 is a factor of x3 +ax2 + 11x +6 , Find the value of a

Answer 1

Answer:

a = -6

Step-by-step explanation:

x +2

x=-2

(-2)3+a(-2)2+11(-2)+6

-8-4a+(-22)+6

-4a-24

-4a=24

a=24/-4

a=-6

Answer 2

ANSWER

let F ( x ) = x³ + ax² + 11x + 6

G ( x ) = x + 2

if g (x) is a factor of f ( x ) then by factor theorem f ( - 2 ) = 0

= x³ + ax² + 11x + 6 = 0

= ( -2 ) + a ( - 2 ) ² + + 11 ( - 2 ) +6 = 0

= -8 + 4a - 22 + 6 = 0

= - 24 + 4a = 0

= 4a = 24

= a = 24\ 4

= a = 6

I HOPE ITS HELP YOU