Problema Solution

Find a polynomial of degree 4 that has the following zeroes:

6, 5, -7, 0

Answer provided by our tutors

          (x - 6)(x - 5)(x + 7)x

      = x(x^2 - 11x + 30)(x + 7)

      = x(x^3 - 4x^2 - 47x + 210)

     = x^4 - 4x^3 - 47x^2 + 210x