College Algebra

Question

Find a polynomial function of degree 6 with −3 as a zero of multiplicity​ 3, 0 as a zero of multiplicity 2​, and 3 as a zero of multiplicity 1.

Answer 1

(x+3)^3(x-3)x^2

(x^3 + 3x^2(3) + 3x(9) + 27)(x-3)x^2 =

x^4 +24x^3 -54x -81)x^2 =

x^6 +24x^5 -54x^3 -81x^2