Find the first three terms of the product in acending powers.
(1-2x^2-x^4)(4+x^2-2x^4)

- toxicsugar22

Find the first three terms of the product in acending powers.
(1-2x^2-x^4)(4+x^2-2x^4)

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- schrodinger

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- anonymous

well, why don't you multiply the two polynomials and post what you got?

- toxicsugar22

ok

- toxicsugar22

i got 4-x^2-2x^4-8x^4x^6-4x^4-x^6-2x^8
is that right and if it isnt caould you please correct me

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## More answers

- anonymous

okay so you got that. why don't you add up the like terms and post it here.
for example, -2x^4 - 4x^4 = -6x^4

- anonymous

there should be a plus of minus sign between 8x^4 and x^6 in the polynomial you posted

- toxicsugar22

so my answer is not right

- toxicsugar22

ohh i see there is a minus between 8x^4 and x^6

- toxicsugar22

4-x^2-2x^4-8x^4-x^6-4x^4-x^6-2x^8

- anonymous

okay, but you have to add up the like terms.
you see, a^2 +3 a^2 = 4a^2.
similarly
-2x^4 - 8x^4 = -10x^4

- anonymous

and so on. so group all the terms together and write down your expression

- toxicsugar22

i dont know but i got 4-x^2-14x^4-2x^6-2x^8

- toxicsugar22

is that right

- anonymous

yes, that seems to be right. all you have to do now is see what the first three terms are in ascending order of powers.

- toxicsugar22

is it 4-x^2-14x^4

- anonymous

yes.

- toxicsugar22

ok thanks you

- toxicsugar22

cana you help me with on more promblem

- anonymous

although you should say, the first three terms are
4, -x^2 and -14x^4

- anonymous

you are welcome. post your other problem and we will see how to solve it.

- toxicsugar22

A large wooden box is 3 feet longer than it is wide, and its height is 2 feet shorter than its width.
a. If the width of the box is w, write expressions for its lenghth and its height.
b. write a plynomial for the volume of the box.
c. Write a polynomial for the surface area of the box

- toxicsugar22

do u get it
or no

- toxicsugar22

ok srry not that one

- anonymous

yes, i got it. do you want the answer or not?

- toxicsugar22

yes

- toxicsugar22

thanks

- anonymous

okay it says the box is 3 feet longer than its width.
so length = ?

- toxicsugar22

i dont know can u show me the firt time please

- toxicsugar22

can u help me please

- anonymous

if width is w, length = w + 3feet.

- anonymous

so if height is 2 feet less than width,
height = ?

- toxicsugar22

2-w

- toxicsugar22

or w-2

- anonymous

yes, w -2 is correct.
so width is w, length is w+3 and height is w-2

- anonymous

what is the volume and surface area then?

- toxicsugar22

im not sure
surface area is( w-2)(w+3)

- toxicsugar22

can u help me

- anonymous

what is the volume of a cuboid?

- anonymous

just tell me the general formula.

- toxicsugar22

ok
the surface formula

- anonymous

http://www.gcsemathstutor.com/images/shapespace/ss-vol-cuboid.jpg

- anonymous

http://www.mathsteacher.com.au/year10/ch14_measurement/14_cuboid/20cuboid.htm

- toxicsugar22

s=2lh+2wh+2lw

- toxicsugar22

is that it

- anonymous

yes. so express the surface area in terms of the height width and length of your cube.

- toxicsugar22

so do i plug in the 3 and 2 for the height and the width

- anonymous

your height is w -2
and length is w+3
and width is w.
so plug those values.

- toxicsugar22

so s=2(w+3)(w-2)+2(w)(w-2)+2(w+3)(w)

- toxicsugar22

is it right

- anonymous

yes

- toxicsugar22

now do i distrubuite

- anonymous

yes, you can do that

- toxicsugar22

how do i muliply 2(w+3)(w-2)

- toxicsugar22

can you just show me

- anonymous

http://www.webmath.com/polymult.html

- toxicsugar22

ok i got 6w^2+4w-12
is that right

- toxicsugar22

is it right

- anonymous

no

- toxicsugar22

than can u help me

- toxicsugar22

please

- anonymous

i gave you the link, did you use it?

- toxicsugar22

yes ill do it again

- anonymous

okay.

- toxicsugar22

igot the same thing

- toxicsugar22

unless im doing something wrong

- toxicsugar22

r u there

- anonymous

yes, \[2(w+3)(w-2)=2(w \times w +3 \times w -2 \times w -2 \times 3)\]

- anonymous

\[= 2(w ^{2}+w-6)=2w ^{2}+2w-12\]

- toxicsugar22

is that it

- toxicsugar22

is that the anwer to that question

- anonymous

no, that is the multiplication of 2(w+3)(w-2)
the surface area is 2 lw+2lh+2hw
and the volume is lwh

- toxicsugar22

ok can u help me step by step please

- toxicsugar22

im so lost

- toxicsugar22

can u help

- anonymous

what do you need help with? I already explained everything to you.

- toxicsugar22

no answering the suface area

- toxicsugar22

please like how do u solve 2(w+3)(w-2)+2(w)(w-2)+2(w+3)(w)

- anonymous

2w(w-2) = 2w^2-4w
2w(w+3) = 2w^2+6w.
2(w+3)(w-2) = 2w^2 +2w-12
add all three and post what you get.

- toxicsugar22

6w^4w-12 is that right

- toxicsugar22

is it

- toxicsugar22

please help me

- toxicsugar22

r u there

- anonymous

yes that is right. that is the surface area.

- toxicsugar22

ok and the volume of the box

- toxicsugar22

the surface area of the the box is 6w^6+4w-12

- anonymous

how did you get 6w^6 term in there?

- toxicsugar22

i dk

- anonymous

can you add the three terms like I said and post it here properly?

- toxicsugar22

i did

- anonymous

2w(w-2) = 2w^2-4w
2w(w+3) = 2w^2+6w.
2(w+3)(w-2) = 2w^2 +2w-12
add all three and post what you get

- toxicsugar22

that is what i got but i can doit again

- anonymous

so how did you get a w^6 term there if you added them properly?

- toxicsugar22

2w^2-4w
2w^2+6w.
2w^2 +2w-1=6w^6+4w-12

- anonymous

okay, you added 2w^2+2w^2+2w^2 and got 6w^6?

- toxicsugar22

can u help me please

- anonymous

you added -4w+6w+2w and got 4w correct?

- anonymous

then how did you add 2w^2+2w^2+2w^2 and get 6w^6?
according to your logic, -4w+6w+2w should be 4w^3 isn't it?

- toxicsugar22

ohh yes so can u write the answer again please

- anonymous

no, I can't.
I don't think you understood what I am trying to say to you.
if you add 2 oranges to 2 oranges, how many oranges do you get?

- toxicsugar22

4

- anonymous

you get 4 what?

- toxicsugar22

oranges

- anonymous

okay
so if you add two w squares to two w squares, how many w squares do you get?

- toxicsugar22

4 w

- anonymous

you get 4 w squares. correct?
so if you add 2 w squares to two w squares to two w squares, how many w squares do you get?

- toxicsugar22

6w

- anonymous

okay, so what is 2w^2+2w^2+2w^2?

- toxicsugar22

6w

- anonymous

how is it 6w?
you are saying that if you add 2 oranges to 2 oranges to 2 oranges you get 6 apples. how does that make any sense?

- toxicsugar22

can u just show me

- anonymous

okay. 2 w^2 +2w^2+2w^2 = 6 w^2, not 6w^6

- anonymous

do you understand?

- toxicsugar22

ok thanks

- anonymous

w^2 is the same as w times w.

- toxicsugar22

i understand

- toxicsugar22

can u help me with the volume now

- anonymous

no, I think you can do that on your own. I will give you hint. volume is length times width times height.
length is w+3, width is w and height is w-2
multiply all three.

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