Question

Find a polynomial function of degree 4 with -2 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.

Answer 1

Required polynomial = x(x + 2)^3 = x(x^3 + 6x^2 + 12x + 8) = x^4 + 6x^3 + 12x^2 + 8x