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
Alla [95]
3 years ago
8

Determine the quotient, q(x), and remainder, r(x) when

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0
ANSWER

Quotient:

q(x) = 4 {x}^{2} + 3x + 2

Remainder:

r(x) = 3x + 1

EXPLANATION

The given functions are

f(x) = 12 {x}^{4} + 21 {x}^{3} + 31 {x}^{2} + 21x + 9

and

g(x) = 3 {x}^{2} + 3x + 4

We want to find the remainder and quotient when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

q(x) = 4 {x}^{2} + 3x + 2

The remainder is

r(x) = 3x + 1

You might be interested in
12.38 in expanded form
vitfil [10]
12.38 in expanded form is write like:-

10 + 2 + .3 + .08 = 12.38

To write a number in expanded form just means to write the number in a layout and when you add it up it will become the number you needed to write in expanded form. 

So, 12.38 written in expanded form is:- 10 + 2 + .3 + 0.8

Hope i helped ya!! 
4 0
3 years ago
An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.
Leona [35]
Consider one pyramid
Side length of base = 1.5cm and its height is 1 cm
Slant height of one of the lateral faces =  sqrt(1^2 + 0.75^2) =  1.25 cm
Area of one of the triangular faces = 0.5 * 1.5* 1.25 =  0.9375 cm^2

There are 8  of these so the required surface area = 8 * 0.9375 
=  7.5 cm^2 Answer

5 0
3 years ago
Read 2 more answers
Can someone pls help me
max2010maxim [7]

Answer:third graph (open circle on 518, colored to the right)

Step-by-step explanation:The record is 518 cm. That means that 518 cm has already been accomplished. Anything less than 518 cm is not a record. 518 cm is also not a record. Only distances greater than 518 cm are records

3 0
3 years ago
The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. Find the numbers.
jok3333 [9.3K]

Answer:

x = -6

y = 9

Step-by-step explanation:

The sum of two numbers is 3

x + y = 3

twice the larger number is 36 more than three times the smaller number

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

substitute for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

8 0
3 years ago
Everyone in the assembly line had ___ job.<br>A. 1<br>B. 2<br>C. 3<br>D. 4​
Tema [17]
Everyone in the assembly line had 1 job.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Consider the probability that exactly 95 out of 153 people have not been in a car accident. Assume the probability that a given
    7·1 answer
  • I have a lot sorry
    12·1 answer
  • Number 4 has me stuck ​
    13·2 answers
  • The endpoints of a segment are (–5, –3) and (0, 2). What are the endpoints of the segment after it has been translated 4 units u
    7·2 answers
  • Pleaseeeee help me!!!
    5·2 answers
  • Find −14(5).
    12·1 answer
  • Jasmine is planning a surprise birthday for one of her coworkers. One pizza is $11 and a cake is $18. If Jasmine has $84, how ma
    14·1 answer
  • the expression 2L+2w is used to find the perimeter of a rectangle with length L and width w. What is the perimeter of a rectangl
    13·1 answer
  • Most accounts use the simple interest formula to calculate the interest . <br><br> True <br> False
    8·1 answer
  • Find h(3)+d(2) if h(x)= x-1 and d(x) = 7x + 3A.2 B.5 C.14 D.19
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!