if both x+1 and x-1 are factor of ax^3+x^2-2x+b . find the value of a and b
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Step-by-step explanation:
Let f(x) = ax3 + x2 − 2x + b be the given polynomial. By factor theorem, if (x+1) and (x-1)both are factors of the polynomial f (x). if f(−1) and f(1) both are equal to zero. Hence, the value of a and b are 2 and −1 respectively.
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