toxicsugar22
  • toxicsugar22
Find the first three terms of the product in acending powers. (1-2x^2-x^4)(4+x^2-2x^4)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
well, why don't you multiply the two polynomials and post what you got?
toxicsugar22
  • toxicsugar22
ok
toxicsugar22
  • 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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anonymous
  • 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
  • anonymous
there should be a plus of minus sign between 8x^4 and x^6 in the polynomial you posted
toxicsugar22
  • toxicsugar22
so my answer is not right
toxicsugar22
  • toxicsugar22
ohh i see there is a minus between 8x^4 and x^6
toxicsugar22
  • toxicsugar22
4-x^2-2x^4-8x^4-x^6-4x^4-x^6-2x^8
anonymous
  • 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
  • anonymous
and so on. so group all the terms together and write down your expression
toxicsugar22
  • toxicsugar22
i dont know but i got 4-x^2-14x^4-2x^6-2x^8
toxicsugar22
  • toxicsugar22
is that right
anonymous
  • 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
  • toxicsugar22
is it 4-x^2-14x^4
anonymous
  • anonymous
yes.
toxicsugar22
  • toxicsugar22
ok thanks you
toxicsugar22
  • toxicsugar22
cana you help me with on more promblem
anonymous
  • anonymous
although you should say, the first three terms are 4, -x^2 and -14x^4
anonymous
  • anonymous
you are welcome. post your other problem and we will see how to solve it.
toxicsugar22
  • 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
  • toxicsugar22
do u get it or no
toxicsugar22
  • toxicsugar22
ok srry not that one
anonymous
  • anonymous
yes, i got it. do you want the answer or not?
toxicsugar22
  • toxicsugar22
yes
toxicsugar22
  • toxicsugar22
thanks
anonymous
  • anonymous
okay it says the box is 3 feet longer than its width. so length = ?
toxicsugar22
  • toxicsugar22
i dont know can u show me the firt time please
toxicsugar22
  • toxicsugar22
can u help me please
anonymous
  • anonymous
if width is w, length = w + 3feet.
anonymous
  • anonymous
so if height is 2 feet less than width, height = ?
toxicsugar22
  • toxicsugar22
2-w
toxicsugar22
  • toxicsugar22
or w-2
anonymous
  • anonymous
yes, w -2 is correct. so width is w, length is w+3 and height is w-2
anonymous
  • anonymous
what is the volume and surface area then?
toxicsugar22
  • toxicsugar22
im not sure surface area is( w-2)(w+3)
toxicsugar22
  • toxicsugar22
can u help me
anonymous
  • anonymous
what is the volume of a cuboid?
anonymous
  • anonymous
just tell me the general formula.
toxicsugar22
  • toxicsugar22
ok the surface formula
anonymous
  • anonymous
http://www.gcsemathstutor.com/images/shapespace/ss-vol-cuboid.jpg
anonymous
  • anonymous
http://www.mathsteacher.com.au/year10/ch14_measurement/14_cuboid/20cuboid.htm
toxicsugar22
  • toxicsugar22
s=2lh+2wh+2lw
toxicsugar22
  • toxicsugar22
is that it
anonymous
  • anonymous
yes. so express the surface area in terms of the height width and length of your cube.
toxicsugar22
  • toxicsugar22
so do i plug in the 3 and 2 for the height and the width
anonymous
  • anonymous
your height is w -2 and length is w+3 and width is w. so plug those values.
toxicsugar22
  • toxicsugar22
so s=2(w+3)(w-2)+2(w)(w-2)+2(w+3)(w)
toxicsugar22
  • toxicsugar22
is it right
anonymous
  • anonymous
yes
toxicsugar22
  • toxicsugar22
now do i distrubuite
anonymous
  • anonymous
yes, you can do that
toxicsugar22
  • toxicsugar22
how do i muliply 2(w+3)(w-2)
toxicsugar22
  • toxicsugar22
can you just show me
anonymous
  • anonymous
http://www.webmath.com/polymult.html
toxicsugar22
  • toxicsugar22
ok i got 6w^2+4w-12 is that right
toxicsugar22
  • toxicsugar22
is it right
anonymous
  • anonymous
no
toxicsugar22
  • toxicsugar22
than can u help me
toxicsugar22
  • toxicsugar22
please
anonymous
  • anonymous
i gave you the link, did you use it?
toxicsugar22
  • toxicsugar22
yes ill do it again
anonymous
  • anonymous
okay.
toxicsugar22
  • toxicsugar22
igot the same thing
toxicsugar22
  • toxicsugar22
unless im doing something wrong
toxicsugar22
  • toxicsugar22
r u there
anonymous
  • anonymous
yes, \[2(w+3)(w-2)=2(w \times w +3 \times w -2 \times w -2 \times 3)\]
anonymous
  • anonymous
\[= 2(w ^{2}+w-6)=2w ^{2}+2w-12\]
toxicsugar22
  • toxicsugar22
is that it
toxicsugar22
  • toxicsugar22
is that the anwer to that question
anonymous
  • 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
  • toxicsugar22
ok can u help me step by step please
toxicsugar22
  • toxicsugar22
im so lost
toxicsugar22
  • toxicsugar22
can u help
anonymous
  • anonymous
what do you need help with? I already explained everything to you.
toxicsugar22
  • toxicsugar22
no answering the suface area
toxicsugar22
  • toxicsugar22
please like how do u solve 2(w+3)(w-2)+2(w)(w-2)+2(w+3)(w)
anonymous
  • 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
  • toxicsugar22
6w^4w-12 is that right
toxicsugar22
  • toxicsugar22
is it
toxicsugar22
  • toxicsugar22
please help me
toxicsugar22
  • toxicsugar22
r u there
anonymous
  • anonymous
yes that is right. that is the surface area.
toxicsugar22
  • toxicsugar22
ok and the volume of the box
toxicsugar22
  • toxicsugar22
the surface area of the the box is 6w^6+4w-12
anonymous
  • anonymous
how did you get 6w^6 term in there?
toxicsugar22
  • toxicsugar22
i dk
anonymous
  • anonymous
can you add the three terms like I said and post it here properly?
toxicsugar22
  • toxicsugar22
i did
anonymous
  • 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
  • toxicsugar22
that is what i got but i can doit again
anonymous
  • anonymous
so how did you get a w^6 term there if you added them properly?
toxicsugar22
  • toxicsugar22
2w^2-4w 2w^2+6w. 2w^2 +2w-1=6w^6+4w-12
anonymous
  • anonymous
okay, you added 2w^2+2w^2+2w^2 and got 6w^6?
toxicsugar22
  • toxicsugar22
can u help me please
anonymous
  • anonymous
you added -4w+6w+2w and got 4w correct?
anonymous
  • 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
  • toxicsugar22
ohh yes so can u write the answer again please
anonymous
  • 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
  • toxicsugar22
4
anonymous
  • anonymous
you get 4 what?
toxicsugar22
  • toxicsugar22
oranges
anonymous
  • anonymous
okay so if you add two w squares to two w squares, how many w squares do you get?
toxicsugar22
  • toxicsugar22
4 w
anonymous
  • 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
  • toxicsugar22
6w
anonymous
  • anonymous
okay, so what is 2w^2+2w^2+2w^2?
toxicsugar22
  • toxicsugar22
6w
anonymous
  • 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
  • toxicsugar22
can u just show me
anonymous
  • anonymous
okay. 2 w^2 +2w^2+2w^2 = 6 w^2, not 6w^6
anonymous
  • anonymous
do you understand?
toxicsugar22
  • toxicsugar22
ok thanks
anonymous
  • anonymous
w^2 is the same as w times w.
toxicsugar22
  • toxicsugar22
i understand
toxicsugar22
  • toxicsugar22
can u help me with the volume now
anonymous
  • 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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