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.)

A.
height: 19 in.

depth: 5 in.

B.
height: 21 in.

depth: 5 in.

C.
height: 19 in.

depth: 7 in.

D.
height: 21 in.

depth: 7 in.

@Embryo @mathbrain99 @mathlover2014 @Hero

Answer 1

@massiel928, are you here?

Answer 2

yes im here. i dont get the hint

Answer 3

Okay, let me start over then.

Answer 4

ok

Answer 5

@hartnn

Answer 6

do you know polynomial division or synthetic division...?

Answer 7

no

Answer 8

ok... that makes it hard..

well your polynomial factors to

\[P(x) = (x +3)(x^2 + 2x - 63)\]

all you need to do is factor the quadratic...

and then you'll have the 3 measures...

knowing width = 15

so

x + 3 = 15

you can find th value of x

so then its just a case of substituting the value of x to find height and length

hope it helps

Answer 9

B? @campbell_st

Answer 10

that's it...B...

Answer 11

YESSS! thank you lol :D

Answer 12

would you check one more for me? @campbell_st

Answer 13

ok... just post it and I'll look

Answer 14

Divide -3x3 - 2x2 - x - 2 by x – 2.
A. -3x2 - 8x - 17
B. -3x2 + 4x + 15
C. -3x2 + 4x + 15, R 32
D. -3x2 - 8x - 17, R –36

Answer 15

wow... if you don't know how to do the division it makes it tough

Answer 16

ok... my advice is to use the remainder theorem

you are dividing by x - 2

so find P(2) that will give the remainder... if there is one..

so substitute x = 2 and then evaluate...