Question

If (x+1) and (x-1) are the factors of ax³+x²-ab+b, find the value of a and b.

Answer 1

Answer:

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.