Write a polynomial 𝑓(𝑥) that meets the given conditions. Degree 4 polynomial with zeros 3, -5 (each with multiplicity 1) and 0 (with multiplicity 2) whose graph contains the point (1,24)

Answer 1

x^2(x-3)(x+5) = x^4+2x^3 -15x^2

f(1)= 24 = -2(1+2-15)

f(x) = -2(x^4 +2x^3 -15x^2)

f(x) =-2x^4 -4x^3 +30x^2