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
love history [14]
3 years ago
10

Which of the following sets contains all roots of the polynomial f(x)=2x^3+3x^2-3x-2?

Mathematics
1 answer:
svlad2 [7]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Given

f(x) = 2x³ + 3x² - 3x - 2

Note that

f(1) = 2 + 3 - 3 - 2 = 0 , thus

(x - 1) is a factor

Dividing f(x) by (x - 1) gives

f(x) = (x - 1)(2x² + 5x + 2) = (x - 1)(x + 2)(2x + 1)

To find the roots equate f(x) to zero, that is

(x - 1)(x + 2)(2x + 1) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x + 2 = 0 ⇒ x = - 2

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - \frac{1}{2}

The solution set is therefore

{ - 2, - \frac{1}{2}, 1 } → C

You might be interested in
What is the distance between 12 7 and 3 7 !
Vinil7 [7]

Answer:

The answer is 15 units is the answer boom

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is 18.386 rounded to the nearest Hundred
jonny [76]
This will be 18.39, 6 is higher than 5, so the 8 is going higher so it's a 9 and you will get 18.39
8 0
3 years ago
You roll a six-sided die twice. What is the probability of rolling a number divisible by 2 and then a number divisible by 3?
Aneli [31]

If I am rolling a single dice what is the probability of rolling a number that is divisible by 2 and 3? The only number divisible by 2 and 3 is 6. So, would the answer be 1 out 6 or 1/6

3 0
3 years ago
Read 2 more answers
How many timnes does 43 go into 93
Charra [1.4K]

43 can fit into 93 two whole times.

After that, there's only room for another 7 inside the 93,
so there's no way to stuff the whole 43 in there again.

8 0
3 years ago
Read 2 more answers
Find the mode of the data set: 37, 42, 39, 44, 47, 38, 42, 45, 49, 35
Snezhnost [94]

Answer:

42

Step-by-step explanation:

mode is the most common number

6 0
3 years ago
Read 2 more answers
Other questions:
  • A car rental agency charges ​$50 per week plus ​$0.50 per mile to rent a car.
    7·1 answer
  • A gun charges a $50 activation fee and $17 per month for a membership. If you spend $356, for how many months do you have a gym
    14·1 answer
  • For an exponential function in the form of y=ab to the power of x , if b is between 0 and 1, what happens to the graph of the fu
    9·1 answer
  • In Mr. Sheldon’s physical education class, each student plays at most 1 sport.
    11·1 answer
  • Need Help, PLS Explain How to do it Thanks
    9·1 answer
  • If a triangle has a height of 12 inches and a base of 5 inches, what's its area? A. 90 sq. in. B. 45 sq. in. C. 60 sq. in. D. 30
    13·1 answer
  • 6 cakes cost to pound £2.40 how much does 10 cakes cost?
    7·2 answers
  • What is the LCD of 3/10 and 7/15??
    15·2 answers
  • F(19) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%2B2%7D-%20%5Csqrt%7Bx-3%7D" id="TexFormula1" title="\frac{3}{x+2}-
    9·1 answer
  • How can I solve this problem? 4/6 minus 2/9?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!