Question

divide 7w^2+3w-4 by w+1

Answer 1

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)

Answer 2

thats not what i asked. i asked how to divide them. idk how to do that

Answer 3

That is exactly what you asked. A better question might be: I don't understand, can you explain, please?

Answer 4

no its not i asked to divide them not factor them

Answer 5

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.

Answer 6

Here's the long division version, however:

Answer 7

that is what i want

Answer 8

\[\begin{align}
&7w\\
&- - - - - - -\\
w + 1 |& 7w^2 + 3w - 4 \\
& 7w^2 + 7w \\
& - - - - - \\
& 0 - 4w - 4
\end{align}\]

\[\begin{align}
&7w - 4\\
&- - - - - - -\\
w + 1 |& 7w^2 + 3w - 4 \\
& 7w^2 + 7w \\
& - - - - - \\
& 0 - 4w - 4 \\
& - 4w - 4
& - - - - -
& 0
\end{align}\]

Answer 9

Eh, kind of failed that last line there, sorry.

Answer 10

Kenya, does the above make sense?

Answer 11

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

Answer 12

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.

Answer 13

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.

Answer 14

wow that was like gibberish?????? to me sry

Answer 15

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?

Answer 16

ya

Answer 17

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.

Answer 18

kk????

Answer 19

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.

Answer 20

Then, we need to find a way to turn w into -4w. We can do that by multiplying by -4.

Answer 21

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.

Answer 22

k