AMC 12A 2024 (Problem 15)

PolynomialsMedium

The roots of

x^3+2x^2-x+3

are

p

q

, and

r

. What is the value of

(p^2+4)(q^2+4)(r^2+4)

\text{(A)}\;64

\text{(B)}\;75

\text{(C)}\;100

\text{(D)}\;125

\text{(E)}\;144