Mathematics, 14.09.2020 15:01 eraines1714

Divide -3x^3-2x^2-x-2 by x-2

Answers: 1

Show answers

Answers

In this case, you must synthetic division. You are given x-2. You need to set that to zero so that you now have x-2=0. You then need to get x by itself. So:
$x-2(+2)=0(+2) \\ x=2$ .
You then need to use that final part as the beginning of your synthetic division.
To continue, you must find the leading coefficients of every degree (remember: your degree is found by your largest exponent) beginning with your highest degree, in this case it is 3, and use the front number of the term. BE SURE TO BE AWARE OF NEGATIVES (indicated by subtraction signs)!!! Then you continue down the equation from $x^{3}$ down to $x^{2}$ then $x^{1}$ then $x^{0}$ (which is just the number without an "x") doing the same thing. So your setup should look similar to as follows:

2 l -3 -2 -1 -2
l__________

The numbers inside the box should be added down (the first number is added to nothing, so it is added to zero. Then it is multiplied by the outside number (2). Then that multiplied number continues into the next slot within the box which is then added to the number above it, and so the process repeats. So the process should go like this.

2 l -3 -2 -1 -2
l 0
-3
2 l -3 -2 -1 -2
l 0 -6
-3 -8
2 l -3 -2 -1 -2
  l 0 -6 -16
-3 -8 -17
2 l -3 -2 -1 -2
  l 0 -6 -16 -34
-3 -8 -17 -36
So now you are left with -3, -8, -17, and -36. This is to be expected. Now, those new numbers are your new leading coefficients. Remember your first degree? It was 3, now, you need to take your leading degree and subtract it by one. That is your new degree. So now, going left to right on the synthetic division chart, you add "x" and your degree descending as you go further to the right. So, your new equation is $-3 x^{2} -8 x-17$ .
There is a problem though, because there is still that -36. This is where that original piece that you divided the equation by comes in handy. You divided everything by x-2, so, you must add your remainder divided by x-2 to the rest of the equation.
So, the final equation is equal to:
$-3 x^{2} -8x-17- \frac{36}{x-2}$

That is your final answer.

Answer from: Quest

Did you get there answer to 44?
Ineed 3 more questions done on this page numbers through 43-45

Answer from: Quest

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 19:30

The revenue each season from tickets at the theme park is represented by t(c)=5x. the cost to pay the employees each season is represented by r(x)=(1.5)^x. examine the graph of the combined function for total profit and estimate the profit after four seasons

Answers: 3

Answer

Mathematics, 21.06.2019 19:50

If the scale factor between two circles is 2x/5y what is the ratio of their areas?

Answers: 3

Answer

Mathematics, 21.06.2019 23:00

Two years ago a man was six times as old as his daughter. in 18 years he will be twice as old as his daughter. determine their present ages.

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

Simplify this expression. 8x 16(x + y)