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
Alika [10]
3 years ago
11

PLEASE HELP ASAP

Mathematics
2 answers:
Nataly [62]3 years ago
8 0

Hey there!!

Using the remainder theorem :

x + 1 = 0

x = -1

The remainder is -12.

Plugging in the values :

... 2x³ - mx² + nx - 2 = -12

... 2x³ - mx² + nx = - 10

... 2 ( - 1 )³ -m ( -1 )² + n ( -1 )

... -2 - m -  n = - 10

... - m - n = -8

Let's take the other one :

x - 2 = 0

x = 2

Plugging in the values :

2x³ - mx² + nx - 2 = 0

2x³ - mx² + nx = 2

2 ( 2 )³ - m ( 2 )² + n ( 2 ) = 2

16 - 4m + 2n = 2

- 4m + 2n = -14

Let's get both the equations together :

- m - n = -8  ---- ( 1 )

- 4m + 2n = -14  ---- ( 2 )

......................................................................................................................................................................

Multiply the first equation with 2

- 2m - 2n = -16 --- ( 1 )

- 4m + 2n = -16 --- ( 2 )

Add both the equations.

...................................................................................................................................................................... - 6m = - 32

m = -32 / - 6

m = 32 / 6

m = 16 / 3

Substitute this value to get the value of ' n '

- m - n = - 8

- 16 / 3 - n = - 8

- n = - 8 + 16 / 3

- n = - 8 / 3

n = 8 / 3

m = 16 / 3 and n = 8 / 3

Hope my answer helps!!

Katyanochek1 [597]3 years ago
5 0

m = 5 and n = 3

let f(x) = 2x³ - mx² + nx - 2 , then

f( - 1 ) = - 2 - m - n - 2 = - 12

f(2 ) = 16 - 4m + 2n - 2 = 0

Tidying up the 2 equations

- m - n = - 8 → (1)

- 4m + 2n = - 14 → ( 2)

multiply equation ( 1) by 2

- 2m - 2n = - 16 → ( 3 )

add ( 2 ) and ( 3 ) term by term

-6m = - 30 ⇒ m = 5 ( substitute m = 5 into (2 )

- 20 + 2n = - 14

2n = 6 ⇒ n = 3



You might be interested in
15. 12, 8, 14, 7, 16, 6, 18, .......,<br>b. 6, 20<br>a. 5, 18<br>d.6,21<br>C. 5, 20​
babymother [125]

Answer:

What is the question. Please rewrite the question.

8 0
3 years ago
It's 10 3/5 miles from Alsten to Barton and 12 1/2 miles from Barton to Chester. The distance from Alsten to Durbin,via Barton a
Ymorist [56]
10 3/5=10.6

10.6+12.5=23.1
35.0-23.1=11.9

It is 11.9 miles from Chester to Durbin.
4 0
3 years ago
60 percent of what number is 24?
elena-s [515]
The answer is 14.4

Hope it Helps :]

5 0
3 years ago
Lea buys 6 model cars that each cost $15.She also buys 4 bottles of paint that each cost $11.How many does lea spend on model ca
inn [45]
6x15=90

4x11=44

90+44=134

134$
5 0
3 years ago
Read 2 more answers
Callie ran 6 meters at track practice, walked 4 meters home, walked 4 meters to school, and walked 12 meters in school. How many
chubhunter [2.5K]
1 meter = 0.001 kilometers. This should help you find the answer.
7 0
3 years ago
Other questions:
  • What was the average temperature for the month of April in Washington D.C?
    11·2 answers
  • Compare and contrast pounds and ounces
    9·1 answer
  • -3 17/20 as a decimal
    10·1 answer
  • Pls help me or me fail
    8·1 answer
  • Da<br> A<br> Solve the equation 2x^2+3=0
    11·1 answer
  • GIVING BRAINLIES, PLS HELP !!! :(
    14·1 answer
  • Which shows the image of rectangle ABCD after the rotation () (W)?<br> 13<br> VA<br> 1<br> V
    9·1 answer
  • Answer my math question I asked so many times I lost most of points
    15·2 answers
  • PLEASE HELP WILL BRAINLIST IF RIGHT
    14·1 answer
  • Find the area, in square units, of ️ABC​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!