anonymous
  • anonymous
divide 7w^2+3w-4 by w+1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
7w^2+3w-4=7w^2+7w-4w-4 =7w(w+1)-4(w+1) =(7w-4)(w+1) now ur question becomes:(7w-4)(w+1)/(w+1)=(7w-4)
anonymous
  • anonymous
thats not what i asked. i asked how to divide them. idk how to do that
anonymous
  • anonymous
That is exactly what you asked. A better question might be: I don't understand, can you explain, please?

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anonymous
  • anonymous
no its not i asked to divide them not factor them
shadowfiend
  • shadowfiend
The point they are both making is that the most expedient way of dividing the two is to factor 7w^2 + 3w - 4 and then divide.
shadowfiend
  • shadowfiend
Here's the long division version, however:
anonymous
  • anonymous
that is what i want
shadowfiend
  • shadowfiend
\[\begin{align} &7w\\ &- - - - - - -\\ w + 1 |& 7w^2 + 3w - 4 \\ & 7w^2 + 7w \\ & - - - - - \\ & 0 - 4w - 4 \end{align}\] \[\begin{align} &7w - 4\\ &- - - - - - -\\ w + 1 |& 7w^2 + 3w - 4 \\ & 7w^2 + 7w \\ & - - - - - \\ & 0 - 4w - 4 \\ & - 4w - 4 & - - - - - & 0 \end{align}\]
shadowfiend
  • shadowfiend
Eh, kind of failed that last line there, sorry.
shadowfiend
  • shadowfiend
Kenya, does the above make sense?
anonymous
  • anonymous
ya i just kind of copied it i dont really undestand the whole dividing polynomials thing and i have a end-of-course on this on thursday
shadowfiend
  • shadowfiend
Ok, well, the most straightforward way to see it is, above. You're dividing 7w^2 + 3w - 4 by w + 1. Now, w + 1 has two parts, the w, and the 1. That means you'll have to deal with only two parts of 7w^2 + 3w - 4 at a time. We start at the left, with 7w^2 + 3w. We concentrate on getting the w to turn into a 7w^2, which is why we use 7w. That gives us 7w(w + 1) = 7w^2 + 7w. Then we subtract that from the full polynomial, 7w^2 + 3w - 4. That leaves us with -7w - 4.
shadowfiend
  • shadowfiend
Sorry, that leaves us with -4w - 4. Now that's another two parter, so we focus on -4w. We can turn w into -4w by multiplying by -4. So we, have -4(w + 1) = -4w - 4. That's the same as -4w - 4, so they cancel out, and we've successfully divided the two polynomials.
anonymous
  • anonymous
wow that was like gibberish?????? to me sry
shadowfiend
  • shadowfiend
Ok, so the point of dividing 7w^2 + 3w - 4 by w + 1 is to find something where, if we multiply it by w + 1, we get 7w^2 + 3w - 4. Right?
anonymous
  • anonymous
ya
shadowfiend
  • shadowfiend
Ok, so we start by seeing how we can get w to turn into 7w^2. We can do that by multiplying w by 7w.
anonymous
  • anonymous
kk????
shadowfiend
  • shadowfiend
Once we've found that we want to multiply by 7w, we multiply all of (w + 1) by it, and we get 7w^2 + 7w. Then, to reach the next step, we subtract it from the original polynomial, which is 7w^2 + 3w - 4. 7w^2 - 7w^2 = 0 3w - 7w = -4w - 4 - 0 = -4 So we end up with -4w - 4.
shadowfiend
  • shadowfiend
Then, we need to find a way to turn w into -4w. We can do that by multiplying by -4.
shadowfiend
  • shadowfiend
We do the same thing as above, multiply w + 1 by -4, which gives us -4w - 4, then subtract that from the remainder from the last subtraction, which was also -4w - 4: -4w - (-4w) = 0 -4 - (-4) = 0 And so we have 7w (the first part) + (-4) (the second part) as our result. This is the same as 7w - 4.
anonymous
  • anonymous
k

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