Answer:
Option A
Step-by-step explanation:
Degree of the polynomial function = 4
That means highest degree term of the given polynomial has power = 4
If the roots of a quadratic polynomial are a, b, c, d then the polynomial function will be,
f(x) = (x - a)(x - b)(x - c)(x - d)
It's given in the question that roots are x = -2, -1, 1 and 3
Therefore, polynomial function will be,
f(x) = (x + 2)(x + 1)(x - 1)(x - 3)
From the given options, graph A shows that the graph intersects the x-axis at x = -2, -1, 1 and 3
Therefore, Option A will be the answer.