Question

The polynomial x 3 + 5x 2 -57x -189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions? ( Hint: The height is greater than the depth.)

Answer 1

A.
height: 19 in.

depth: 5 in.

B.
height: 21 in.

depth: 5 in.

C.
height: 19 in.

depth: 7 in.

Answer 2

@SolomonZelman

Answer 3

@DecentNabeel

Answer 4

easy

Answer 5

Can you please help me? I've already answered it wrong once lol @timo86m

Answer 6

@pooja195

Answer 7

maybe polynomial long division will work here.

Divide your polynomial by x+3 maybe.

Answer 8

But how do i even get to that part? @timo86m

Answer 9

because usually u have to factor. And you can take x+3 as a hint that it is one of the factors.

Answer 10

This is the factor that i figured out
(x+3)(x−7)(x+9)

Answer 11

@timo86m

Answer 12

here is how i picture it in my head
You are given x+3. U will need 2 other similar expressions to get a volume call them
x+a
x+b
x+3 <- given

And together they form
(x+a) * (x+b) * (x+3) = Volume

height*depth* width = volume

Answer 13

good job

Answer 14

Where do i go from there? @timo86m

Answer 15

width = 15 so you are told
x+3=15
x=15-3
x=12
therefor x = 12

Plug it in :)

Answer 16

(x+3)(x−7)(x+9)

X=12

Answer 17

( Hint: The height is greater than the depth.)

Answer 18

find two other sides

Answer 19

Is it A?

Answer 20

@timo86m

Answer 21

not sure yet

Answer 22

Thank you @timo86m

Answer 23

x+9=12+9=21
x-7=12-7=5