Construct a polynomial function with the following properties: fifth degree, −2 is a zero of multiplicity 4, 1 is the only other zero.

Answer 1

(x+2)^4(x-1)

= (x^2 +4x + 4)^2(x-1)

=(x^2+4x+4)(x^2+4x+4)(x-1)

multiply it out you'll get a 5th degree polynomial with leading term x^5