1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
12345 [234]
3 years ago
7

Use polynomial long division to rewrite the following fraction in the form q(x)+r(x)d(x), where d(x) is the denominator of the o

riginal fraction, q(x) is the quotient, and r(x) is the remainder.
2x^2+8x-12/x+1
Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Step-by-step explanation:

p(x) = 2x^2+8x-12

d(x) = x + 1

r(x) = -13

q(x) = 2x + 6

\\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  2x +6 \\ x  + 1 \sqrt{ {2x}^{2}  + 8x - 12}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  {2x}^{2}  + 2x \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \frac{  \: -  \:  \:  \:  \:  \:  \:  -  \:  \:  \:  \:  \: }{}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  6x - 12 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 6x + 1 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \frac{ -  \:  \:    -  \:  \:  \:  \:  \: }{}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  - 13

q(x)+r(x)d(x)

= 2x + 6 + (-13) * x + 1

= 2x + 6 -13 * x + 1

= 2x + 6 - 13x + 1

= (- 11x + 7)

You might be interested in
Solve and show work: <br> f(300) = 90 + 0.11x
Vinil7 [7]
300-90= 90-90 +0.11x                                                                                              210=0.11x                                                                                                               210/.11     0.11x/0.11
   1909 = x I think but Idk
6 0
3 years ago
If someone sleeps 8 hours a day for 75 years how many hours did that person sleep in his lifetime?
ra1l [238]
The person sleeps 8 hours a day.

There are 365 days in a year and 366 days in a leap year.

A leap year occurs every 4 years.

If we divide 75 by 4, we get 18.75. This number represents how many leap years occurred in 75 years. So, the person experienced approximately 19 leap years.

19 leap years has 6954 days.

The other 56 years, which have 365 days each year, have a total of 20,440 days.

That's a total of 27,394 days.

27,394 × 8 = 219,152 hours

This is approximately 24 years or 9,131 days.
7 0
3 years ago
6.200,6.532,6.6,6.4
Anton [14]

From lea st to greatest it would be 6.200, 6.4, 6.532, and 6.6

5 0
3 years ago
Read 2 more answers
At a store, Susan selected a pumpkin that weighed 35.2 ounces. Pumpkins cost $1.80 per pound. There are 16 ounces in 1 pound. Ho
Nat2105 [25]

$3.96 i think i just did the math

5 0
3 years ago
How do you shade 2/3 of a square cut into 6
sasho [114]
You would shade 4/6, or 4 parts of the square, since 2/3 is equivalent to 4/6.
5 0
3 years ago
Read 2 more answers
Other questions:
  • If $2,400 is divided evenly by 3 charities, how many dollars does each charity get?? ( Please help)
    12·2 answers
  • 1. What is the perimeter of a rectangle with vertices at (4, 2), (-2, 2), (-2, -2), and (4, -2)?
    13·1 answer
  • A worker at a mill is loading 5-lb bags of flour into boxes to deliver to a local warehouse.Each box holds 12 bags of flour.If t
    9·2 answers
  • The letter​ "t" makes up an estimated 10​% of a certain language. Assume this is still correct. A random sample of 500 letters i
    10·1 answer
  • If a variable stands by itself, what is its coefficient?
    9·2 answers
  • Find total weight of boxes of pecans in shipment of 3 lb boxes of pecans and 2 lb boxes of walnuts.
    11·1 answer
  • Classic Probability
    10·2 answers
  • Can someone help me with this?
    13·1 answer
  • The radioisotope Mo-91 has a t1/2 of 15.5min. A sample decays at the rate of 954counts/min (954cpm). After how many minutes will
    9·1 answer
  • Find the limit
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!