MathDB

2017 Algebra #9

Source:

August 20, 2022

2017Algebra Test

Problem Statement

Let

f(x)=x^3+ax^2+bx

for some

a,b

. For some

c

,

f(c)

achieves a local maximum of

539

(in other words,

f(c)

is the maximum value of

f

for some open interval around

c

). In addition, at some

d

,

f(d)

achieves a local minimum of

-325

. Given that

c

and

d

are integers, compute

a+b

.

Back to Problems View on AoPS