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
The volume of an oblique pyramid with a square base is V units3 and the height is h units.Which expression represents the area o
melamori03 [73]

Answer: a) \dfrac{3V}{h}\ units^2

Step-by-step explanation:

We know that the volume of an oblique pyramid is given by :-

\text{Volume}=\dfrac{1}{3}\text{(Base Area x height) }

If the volume of an oblique pyramid with a square base is V units³ and the height is h units.

Then, we have

V=\dfrac{1}{3}\text{(Base Area x h) }

Multiply 3 on both sides , we get

3V=\text{(Base Area x h) }

Divide both sides by h , we get

\dfrac{3V}{h}=\text{Base Area }

i.e. \text{Base Area }=\dfrac{3V}{h}\ units^2

Hence, the expression represents the area of the base of the pyramid = \dfrac{3V}{h}\ units^2

Hence, the correct answer is a) 3 v/h units^2

7 0
3 years ago
Read 2 more answers
Find the error & find the correct answer 2In(x)=In(3x)-[In(9)-2In(3)] In(x^2)=In(3x)-[In(9)-In(9)] In(x^2)=In(3x)-0 In(x^2)=
Art [367]

Answer:

Error:lnx^2=ln 3x not ln\frac{3x}{0}

Solution:x=0 and 3

Step-by-step explanation:

We have to find the error and correct answer

Given:2ln x=ln(3x)-[ln9-2ln(3)]

lnx^2=ln(3x)-[ln9-ln3^2]

Using the formula

alog b=logb^a

lnx^2=ln(3x)-[ln9-ln9]

lnx^2=ln(3x)-0

lnx^2=ln(3x)

x^2=3x

x^2-3x=0

x(x-3)=0

Therefore, x=0 and x=3

But last step in the given solution

lnx^2=ln\frac{3x}{0}=\infty

It is wrong this property is used when

log m-log n then

log\frac{m}{n}

Hence, the student wrote  lnx^2=ln\frac{3x}{0}instead of lnx^2=ln3x and solution is given by

x=0 and x=3

4 0
3 years ago
Hey can you help me fast!!
madreJ [45]
I think it’s 36 square feet
7 0
2 years ago
Dr. Jon planned to reward his class with candy because everyone got a A on the test. He surveyed every 4th student that entered
USPshnik [31]
This is an example of a systematic sample.

Dr. Jon developed a system in order to get a random sample. His plan was to survey the 4th student that entered his classroom.
8 0
3 years ago
If is valid : a ²- b ² = 117 and a - b = 3, then what is the value of the expression a + b ?
juin [17]

Answer:

d is the correct answer from give questions

7 0
3 years ago
Other questions:
  • What is the angle measure of x?
    14·1 answer
  • How can i find the missing value with a range of 18 for the numbers of 13,21,26,26
    9·1 answer
  • Gus and Ike carried a total of 84 books to the library. If Gus carried 5 as many books as Ike, how many books did they each carr
    6·1 answer
  • LEGF6 U] If you want to get information on how to become a forest ranger, you should write a
    8·1 answer
  • Need help on 9 don’t know if I did it right or not but I need help :p
    13·1 answer
  • Elise is a project manager
    7·2 answers
  • If 3(x-5)+2=29, the value of x^2 is​
    8·2 answers
  • Help me. what is the answer. what is the equation of the line shown?
    12·1 answer
  • Kara earns 12 cent for each paper she delivers. If she delivers papers to 42 customers each day, how much does she earn in 1 wee
    6·2 answers
  • What are the transformations for this quadratic function y= 3 (x+4) power of 2 -8
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!