Question

If x-2 is a factor of x² - a²x² + 3x-6a than a is_______
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Answer 1

If x-2 is a factor of x² - a²x² + 3x-6a

x - 2 = 0

x = 2

therefore ,

p(x) =  x² - a²x² + 3x-6a = 0

p(2) = (2)^2 - a^2(2)^2 + 3 * 2 - 6a = 0

4 - 4a^2 + 6 - 3a = 0

4a^2 + 3a - 10 = 0

4a^2 + 8a - 5a - 10 = 0

4a(a + 2) - 5(a - 2) = 0

(4a-5)(a+2)

therefore ,

a = -5/4

and , a = -2

Answer 2

Answer:

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