Question

OK I seriously need help on this. Ill do absolutely anything!!!!
1.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 – 24. To open the box, you need to identify the correct factors of f(x). Party-goers offer up solutions, and it is your job to find the right ones.


Their suggestions are:
•(x – 1)
•(x + 2)
•(x – 3)
•(x + 4)
•(x + 6)
•(x – 12)


List the correct factors. Then justify your selections with complete sentences.

Answer 1

Ill give medals and everything!

Answer 2

Also need questions 2, 3 , and 4 done. Ill pay!

Answer 3

2.Three party-goers are in the corner of the ballroom having an intense argument. You walk over to settle the debate. They are discussing a function g(x). You take out your notepad and jot down their statements.

•Professor McCoy: She says that 2 is a zero of g(x) because long division with (x + 2) results in a remainder of 0.
•Ms. Guerra: She says that 2 is a zero of g(x) because g(2) = 0.
•Mr. Romano: He says that 2 is a zero of g(x) because synthetic division with 2 results in a remainder of 0.

Answer 4

3.Dr. Collier summons you over to his table. He wants to demonstrate the graph of a fourth-degree polynomial function, but the batteries in his graphing calculator have run out of juice. Explain to Dr. Collier how to create a rough sketch of a graph of a fourth-degree polynomial function.

Answer 5

4.Mrs. Collins is at the table with you and states that the fourth-degree graphs she has seen have four real zeros. She asks you if it is possible to create a fourth-degree polynomial with only two real zeros. Demonstrate how to do this and explain your steps.

Answer 6

@Directrix

Answer 7

hey for # 1 i can do it but idk if i can explain it if thats alright

Answer 8

Yeah that's fine. I was looking for someone to do since I have no idea how or what it is @alec.mccarty

Answer 9

well you have to use there of the options multiplied together to get that polynomial

Answer 10

three***

Answer 11

But I have to do all 6 of them

Answer 12

no you need to pick the right 3 which when multiplied together give you the polynomial in the queation

Answer 13

here let me do it then ill let you work it out

Answer 14

OOOO ok if that's the case then which 3 is it lol

Answer 15

not sure yet 1 min

Answer 16

ok

Answer 17

not x-12

Answer 18

•(x + 2)
•(x – 3)
•(x + 4)

Answer 19

those 3

Answer 20

OK cool and for the couple complete sentences how should I say I got my answer

Answer 21

Or how I justify my answers

Answer 22

I picked 3 of there suggestions because to get to x cubed i knew i would have to have three factors. Also i knew that the numbers in the factors would have to multiply to 24 because of the polynomial. The 24 was negative which meant i would need either 3 negative numbers or one negative number. This ruled out everything but the factor which were correct.

Answer 23

if u need more i can go more in detail. i just kinda wrapped it up bc it was getting long

Answer 24

Think you could help me with a couple more of these problems @alec.mccarty

Answer 25

let me look at em

Answer 26

Please do man I really need this done or im screwed in class

Answer 27

i think th 2nd one is ms. G and i dont remember forth degree sorry

Answer 28

let me think for a couple mins

Answer 29

Ok no prob

Answer 30

ok #3

Answer 31

Sweet!! Find it?

Answer 32

First off he need to use the leading coefficient test to determine if the side go up or down. If a<0 they go down and if a>0 they go up. Then he needs to factor the polynomial to determine the zeros of the graph. After he factors he needs to find the multiplicity of each of the zeros which can be done by simply looking at the power each factor is raised to. After he plots his point then he needs to pick a point between each of the zeros and plug it into the function to get points on each of the curves. Then he just needs to connect the dots.

Answer 33

and now #4

Answer 34

Bro your the best!

Answer 35

Yes it is possible to only have two real zeros if you have two zeros where the line touches the x axis but does not cross. This is achieved if when you factor the function you end up with two factors which each are squared. When the factors are squared it means that their multiplicity is 2. This means that each of these points count as 2 zeros.

Answer 36

that should do

Answer 37

and idk if 2 was right

Answer 38

Yeah for number to I need to explain it which if you don't know how to no way in hell I will lol but bro your seriesly are a life saver. Really appreciate it

Answer 39

Now I have one more assignment that looks easy to do but since I don't know any of this I obviously don't know how to do it. If your up for it

Answer 40

i can explain 2 lol 1 min

Answer 41

OK cool that would help a lot!

Answer 42

Ms. G is correct because she demonstrated that when 2 was plugged into the equation the y value is 0 which would make it a zero of the function

Answer 43

idk about it but it may get you a point or 2

Answer 44

Fine with me man. Up for the one question on my other assignement?

Answer 45

sure

Answer 46

ima go smoke a cig real fast ill be back in 10min or so

Answer 47

ok cool!

Answer 48

You must:
•Label and display your new polynomial identity
•Prove that it is true through an algebraic proof, identifying each step
•Demonstrate that your polynomial identity works on numerical relationships

WARNING! No identities used in the lesson may be submitted. Create your own. See what happens when different binomials or trinomials are combined. Below is a list of some sample factors you may use to help develop your own identity.
•(x – y)
•(x + y)
•(y + x)
•(y – x)
•(x + a)
•(y + b)
•(x2 + 2xy + y2)
•(x2 – 2xy + y2)
•(ax + b)
•(cy + d)

Answer 49

ok im back

Answer 50

Cool I the question is above your comment

Answer 51

do you know how complicated it has to be?

Answer 52

Nope. That is what it all said for the question

Answer 53

here is another part: You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a numerical proof in an engaging way! Make it so the whole world wants to purchase your polynomial identity and can't imagine living without it!

You may do this by making a flier, a newspaper or magazine advertisement, making an infomercial video or audio recording, or designing a visual presentation for investors through a flowchart or PowerPoint.

Answer 54

thats stupid as pellet but ok give me a few mins

Answer 55

pellet****

Answer 56

OK sounds good

Answer 57

do you have a list of the identities that were in the lesson?

Answer 58

Unfortunately I don't :/

Answer 59

ill just make a weird 1 then

Answer 60

lol ha that's fine

Answer 61

im not quite sure if this is what it wants but here

Answer 62

Hey its worth a shot

Answer 63

Identity
y^2+x^2+2xy=(x+y)^2

Algebraic Proof
y^2+x^2+2xy=(x+y)^2
Simplify right side
y^2+x^2+2xy=(x+y)(x+y)
Foil right side
y^2+x^2+2xy=xy+y^2+x^2+xy
Simplify like terms
y^2+x^2+2xy=y^2+x^2+2xy

Numerical proof
y^2+x^2+2xy=(x+y)^2 (where x= and y=2)

2^2+3^2+2*3*2=(3+2)^2

4+9+12=5^2

25=25

Answer 64

Bro your the best!!!

Answer 65

thanks! anything else?

Answer 66

where x=3 btw

Answer 67

Hmm there is one more assignment but I wuna give u a break for the night lol

Answer 68

And x=3?

Answer 69

for the numerical proof i put "where x= and y=2"

Answer 70

ooo ok ill fix that

Answer 71

alright well if your done for tonight ill see you later

Answer 72

Ok cool. Im going to need help on one more assignment for tomorrow. Cool?

Answer 73

what time? what time zone are you in?

Answer 74

Im in florida so I think eastern and not 100% on time sine I have practice tomorrow
What times good for you? Im usually up till 3 am

Answer 75

im in central ill try to get on at 10 or 11so 11-12 for you

Answer 76

OK ill post the questions up and tag u in them. Cool?

Answer 77

alright, this is my first time using this site will it send me like a message or sumthin?

Answer 78

It'll send u a notification. Youll get an email saying u have a notification and or if your on on the top left corner what looks like a sweeping pan. That will have a little one on it to show u have one

Answer 79

alright sounds good cya then

Answer 80

Have a goodnight bro

Answer 81

it is possible to have four real zeroes??

Answer 82

on fourth degree graohs

Answer 83

what was the answer?

Answer 84

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