Question

1. If (x-2) is
factor of xpower3 -3ax-2a then
a= ?​

Answer 1

Answer:

a = 1

Step-by-step explanation:

Let f(x) be x^3 - 3ax - 2a

As (x - 2) is a factor of f(x),

By Factor theorm,

f(2) = 0

2^3 - 3(a)(2) - 2a = 0

8 - 6a - 2a = 0

8 - 8a = 0

8(1 - a) = 0

(1 - a) = 0 ÷ 8

1 - a = 0

-a = -1

Therefore, a = 1