Question

If both x+1 and x-1 are the factors of ax^3+x^2-ab+b, find the value of a and b.
Pls answer asap!​

Answer 1

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.