MathDB

Let

P(x)

be a monic cubic polynomial. The lines

y = 0

and

y = m

intersect

P(x)

at points

A

C

E

and

B

D

F

from left to right for a positive real number

m

. If

AB = \sqrt{7}

CD = \sqrt{15}

, and

EF = \sqrt{10}

, what is the value of

m

<span class='latex-bold'>6.1.</span>

A monic polynomial is one that has a main coefficient equal to

1

. For example, the polynomial

P(x) = x^3 + 5x^2 - 3x + 7

is a monic polynomial
Proposed by Lenin Vasquez, Copan

Problem Statement