question_answer

  If the zeroes of the polynomial f(x) = x3 - 3x2 + x + 1 are a - b, a, a + b, find a and b.

Answer:

  Sum of the zeroes = a ? b + a + a + b = 3 a = a = 1  1 is a zero of x3 ? 3x2 + x + 1  zeroes are 1 - b, 1, 1 + b. Product of zeroes Thus