Question

Please Help! Medal and Fan

A mysterious box is delivered to the dinner party you are attending. The label on the box says that the volume of a box is the function f(x) = x3+3x2-10x (minus) 24. To open the box, you need to identify the correct factors of f(x). Partygoers offer up solutions, and it is your job to find the right ones.

Answer 1

(x-3)(x+2)(x+4)

Answer 2

Thank you for the answers but i also need to know how to do it.

Answer 3

you should try the factors of 24
for x=3 it's true.

then you should divide the polinome by (x-3). now you have a quadratic function. x^2+6x+8

can you solve that?

Answer 4

@marsss Ya

Answer 5

is it ok? did you understand?

Answer 6

What do you mean 'for x = 3 its true'

Answer 7

let x be 3;

3^3+3*3^2-10*3-24=0

i mean x=3 is a solution of this equation

Answer 8

Okay but how did you get 3

Answer 9

i tried the factors of 24. for x=1, it's not correct. for x=2, it's not correct. finally for x=3, it's correct lol

Answer 10

lol okay i understand what you mean, so now you factor out 3 from each monomial now, right?

Answer 11

yes totally right dude :D

Answer 12

Okay but you cant factor 3 from 10

Answer 13

no no no! are you familiar with polinome dividing?

Answer 14

Kinda

Answer 15

you should divide f(x) by (x-3)

Answer 16

http://www.wolframalpha.com/widgets/view.jsp?id=938051cc6938e379018dc3ab037a08e2

Answer 17

so like this \[\frac{ x3 + 3x2 – 10x – 24 }{ x - 3 }\]

Answer 18

exactly. click the link i've sent. it'll be helpful

Answer 19

Okay and then once i divide i get \[x^2+6x+8\]

Answer 20

great! now you know how you solve it

Answer 21

Okay but what do i do next, because the question is asking for all factors, would i just repeat what we just did except replace the x-3 with something else

Answer 22

you should solve x^2+6x+8

x^2+6x+8=(x+2)(x+4)

Answer 23

Okay, so is (x+2) and (x+4) my only factors

Answer 24

and of course (x-3)

Answer 25

lol yes, cant forget that one. Well thankyou soooo much!!!

Answer 26

welcome. good luck