Question

If 1 and -1 are zeros of the polynomial p(x) =ax cube + x squared - 2x+b find the values of a and b.?

Answer 1

putting values of 1 , -1
ax^3 + x^2 -2 x + b
a + 1 -2 + b
- 1+a+b = -a +3+b
2a = 4
a = 2



putting value of a
2 +1 - 2 + b = 0
1 + b =0
b = -1