Question

Find the polynomial of the specified degree whose graph is shown.
Degree 4

Answer 1

the polynomial has zeros at x = -5, -4 and a repeated root at x = 2.

since the degree is 4, then then multiplicity of the root at x = 2 is 2

so the polynomial is

f(x) = (x + 5)(x + 4)(x -2)^2

Answer 2

thank you (: