Question

find the value 'a' if'x-1' is the factor of a²x³-4ax+4a-1

Answer 1

due to x-1 is a factor of f(X) by the factor theorem ,I have done this

Answer 2

Hello Dear!!!

Here's your answer....

The given expression is

a²x³-4ax+4a-1

Zero of x-1 is

x-1 = 0

x = 1

a²(1)³ -4a(1) + 4a -1

a² -4a+4a-1

a²-1

a² - 1²

It is in the form of a² - b²

It is equal to (a+b)(a-b)

(a+1)(a-1) = 0

a+1 = 0    and a-1 = 0

a = -1 and a = 1

The value of a is -1 or 1

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HOPE THIS HELPS YOU....