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