Question

If (x-2) is a factor of x² + 3ax - 2a then a = ______

Options:-

2
-2
1
-1

Answer 1

Answer:

x-2=0

x=2(Substitute this value in the quadratic equation)

2²+3×a×2-2a

4+6a-2a=0

4a=-4

a=-4/4

a=-1

Answer 2

Answer:

f(x) = x² + 3ax - 2a

Given,

(x-2) is a factor of f(x) => f(x) = 0

and x = 2

f(x) = x² + 3ax - 2a

0 = (2)² + 3a(2) - 2a

0 = 4 + 6a - 2a

0 = 4 + 4a

-4 = 4a

-4/4 = a

-1 = a

Your answer is -1 (d)

Hope this is helpful to you.

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