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
Katarina [22]
2 years ago
13

Select the correct answer. Rewrite the expression x^3+10x^2+13x+39/x^2+2x+1 in the form q(x)+r(x)/b(x).

Mathematics
1 answer:
daser333 [38]2 years ago
8 0

1 step: Divide the polynomial x^3+10x^2+13x+39 by the polynomial x^2+2x+1 with remainder:

x^3+10x^2+13x+39=(x^2+2x+1)(x+8)+(-4x+31).

Here x+8 is quotient and -4x+31 is remainder.

2 step: Substitute previous result into the fraction:

\dfrac{x^3+10x^2+13x+39}{x^2+2x+1}=\dfrac{(x^2+2x+1)(x+8)+(-4x+31)}{x^2+2x+1}=\\ \\=\dfrac{(x^2+2x+1)(x+8)}{x^2+2x+1}+\dfrac{-4x+31}{x^2+2x+1}=(x+8)+\dfrac{-4x+31}{x^2+2x+1}.

Answer: correct choice is A.

You might be interested in
What is the area to my question
Alex787 [66]

Answer:

28

Step-by-step explanation:

Find the area of the triangle and subtract that from the area of the rectangle to get your answer.

32-[(4*2)/2]

32-4

28

6 0
3 years ago
1.Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of al
DiKsa [7]
Refer to the diagram shown below.

Because ACFD is a parallelogram, its opposite angles are equal. Therefore
x = m∠ACF = m∠BCF = 48°  
Similarly,
y = m∠CAD = m∠CFD 

The sum of the angles inside a parallelogram is 360°. Therefore
48° + x + y + y = 360°
Because x = 48°,
48° + 48° + 2y = 360°
2y = 360° - 96° = 264°
y = 132°

Because ABED and FEBC are congruent, therefore
y = m∠DAB = m∠CFE = 132°
x = m∠ADE = m∠FCB = 48°

Because FEBC is a parallelogram, the opposite angles are equal. Therefore
m∠CBE = m∠CFE = y = 132°
m∠BCF = m∠BEF = x = 48°

Answer:
The measures of all angles of trapezoid FEBC are
m∠BCF = 48°
m∠BEF = 48°
m∠CBE = 132°
m∠CFE = 132°

7 0
3 years ago
A horizontal line goes through the point (–7,10).
andrey2020 [161]

Answer:

The slope of the line is zero

Another point on the line is (3,10).

The equation of the line is y = 10.

Step-by-step explanation:

an i get brainliest plz

3 0
3 years ago
Read 2 more answers
30 ounces at $4.00 per pound. how much was paid for 30 ounces
Nata [24]
It would be $7.50 because 4 ounces equals $1 so 30/4 =7.5
3 0
3 years ago
What is the total number of rabbits in the neighborhood in year 2
lawyer [7]

Answer:

6

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player ha
    13·2 answers
  • Graph the function by the table. Is the function linear or nonlinear?
    15·2 answers
  • Write an equation in standard form passing through the points (-2, 0) and (-3, -1). I know the answer to the question, but I do
    8·1 answer
  • 1 milliliter of water has a mass of 1.00 grams. True or false?
    12·1 answer
  • To the left of z = -0.95?
    8·1 answer
  • A bank teller has 7 rolls of coins. Each roll has 40 coins. How many coins does the bank teller have.
    15·1 answer
  • What is 3 divided by 748
    10·2 answers
  • Your family's car can hold 20 gallons of gas. If you use .5 gallons of gas a day, how many gallons do you use in 10 days
    5·1 answer
  • (LOTS OF POINTS MARK BRAINlEST) due today please help me !!!!! Don’t take long
    8·1 answer
  • I have no idea how to do this the grades are closing summer breaks coming up im running out of points too I need both of these a
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!