please find the answer I will mark you brainlist
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Step-by-step explanation:
The value of a is 2 and value of b is-1.
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Step-by-step explanation:
If X-1 and X+1 both are the factors of the given polynomial, then x^2-1 is also factor of this polynomial.
So, now divide given polynomial by X^2-1 so you should get 0 as a remainder.
So,
aX^3 + X^2 - 2X + b
= aX ( X^2 - 1) + x^2- ( a - 2 ) X + b
So, X^2 - ( a - X) X + b should be divisable by x^2-1, so if you take a=2 and b = -1, then it is divisable by x-1 and x+1 both.
Answer : a = 2, b = -1
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