polynomial function

Question

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

Answer 1

f( x) = X ( X +2)^3

 

      = X ( X^3 + 6x^2 + 24X  +8 )

 

      = X^4 + 6 X^3 + 24 X^2 + 8X