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
maks197457 [2]
3 years ago
9

Use the grouping method to factor this polynomial x ^ 3 + 2x ^ 2 + 7x + 14

Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Answer:

B. (x^{2}+7)(x+2)

Step-by-step explanation:

The greates common factor between 7 and 14 is 7 so you know that one of the terms is going to be 7....but what times 7 equals 14...2

So we know that in one set of parentheses its going to be (something +2) and in another (something +7)

Well if we know that one is going to be 2, how do we go from 2 to 2x^{2}.....2 times x^{2} equals 2x^{2}

So now we know that one set of parentheses is going to be (something + 2) times (x^{2}+7)

So lastly, we have to find out how to get x^{3} but since we already have a x^{2} in the second set of parentheses all we have to do is put a x in the first set because x times x^{2} = x^{3}

Hope this helps!

You might be interested in
The high school took two field trips to the Newport Aquarium many many years ago. They used school buses and vans to transport a
il63 [147K]

Answer:

bus = 43

van 12

Step-by-step explanation:

This can be solved using simultaneous equations

Let v represent the number of students that a van carries

Let b represent the number of students that a bus carries

the following equations can be derived from the question

3v + 2b = 122 eqn 1

5v + 3b = 189  eqn 2

Multiply eqn 1 by 5 and eqn 2 by 3

15v + 10b = 610  eqn 3

15v + 9b = 567 eqn 4

Subtract equation 4 from 3

b = 43

Substitute for b in equation 1

3v + 2(43) = 122

solve for v

v = 12

5 0
3 years ago
There are more swimmers under 30 years old than there are age 50 and above.
garik1379 [7]

Answer:

true!

Step-by-step explanation:

this is more of a statement then a question.

7 0
2 years ago
Read 2 more answers
What is the volume of the triangular prism below?
worty [1.4K]

Answer:

4.5 ft

Step-by-step explanation:

18 inches = 1.5 ft

\frac{1}{2}  \times 1.5 \times 2 \times 3 = 4.5

Volume of triangular prism = Base Area x Length

Hope this helps

8 0
4 years ago
In a rock-paper-scissors game, a winner gets 5 points and a loser gets 2 points. After a man played this game 20 times, his tota
aleksandr82 [10.1K]

Answer:

The man wins 9 times and looses 11 times in the rock - paper-scissor game.

Step-by-step explanation:

Let us assume that in the game:

Number of times  man wins the games = x times

Number of times  man loses the games = y times

Total number of attempts = 20

Points after winning = 5

Points after loosing = 2

Now, according to the question:

       x  + y =20

and 5 x + 2 y = 67

Now, from (1) y = 20-x,     put in (2)

5x + 2y = 67       ⇒           5x + 2(20 -x)  = 67

or, 5x -2x = 67 - 40

or, 3x = 27

⇒ x = 27/3 = 9

then y = 20 - x = 20 - 9 = 11

⇒ x = 9 and y = 11 is the solution of the given system.

Hence, the man wins 9 times and looses 11 times in the rock - paper-scissor game.

3 0
3 years ago
What is the slope of this line​
puteri [66]

Answer:     I don’t see any lines

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the missing number so that the equation has infinitely many solutions.<br> 4x+ =3(3x–10)–5x+14
    13·1 answer
  • For a certain instant lottery game, the odds in favor of a win are given as 71 to 29. Express the indicated degree of likelihood
    15·1 answer
  • Son of Hannah‘s plants need water every day some need water every other day and some need water every third day if she what is a
    15·1 answer
  • Line segment TS is tangent to circle O at point N.  If the measure of QNT  is 74°, what is the measure of QPN?
    14·2 answers
  • Solve for x your answer must be simplified.<br> −7x&gt;10
    13·1 answer
  • The distance between the school and the airport on a map is 7.25 cm. The scale of the map is 1 cm: 12 m. What is the actual dist
    5·1 answer
  • Can somebody please help me with this question?
    12·2 answers
  • If she spends her entire budget, Ya Binta can afford 74 peaches and 9 pineapples. She can also just afford 14 peaches and 21 pin
    10·1 answer
  • ANSWERS
    14·1 answer
  • In ΔCDE, the measure of ∠E=90°, the measure of ∠D=50°, and DE = 8. 1 feet. Find the length of CD to the nearest tenth of a foot
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!