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
goldenfox [79]
3 years ago
8

Find the number of roots for each equation. 5. 5x4 + 12x3 – x2 + 3x + 5 = 0

Mathematics
1 answer:
pav-90 [236]3 years ago
7 0

Answer:

The number of roots for  equation 5x^4 + 12x^3 – x^2 + 3x + 5 = 0 is 4 .

Step-by-step explanation:

Here, the given function polynomial is :

P(x) : 5x^4 + 12x^3 – x^2 + 3x + 5 = 0

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).

Now here, the degree if the polynomial is 4 (highest power of variable x).

So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.

Hence,  the number of roots for  equation 5x^4 + 12x^3 – x^2 + 3x + 5 = 0 is 4 .

You might be interested in
3(2v-9)=5 solve for v
Sonja [21]

Answer:

v=16/3

Step-by-step explanation:

3(2v-9)=5

Multiply 2v and -9 with 3

6v-27=5

Add 27 to both sides

6v=32

Divide both sides by 6

v=16/3

3 0
3 years ago
Help with this question
xxTIMURxx [149]
I think the answe might be B
4 0
3 years ago
Increased movement of the particles in a solid comes from increased ________.
Andrej [43]

Here's what I found !

<h2>"With an increase in temperature, the particles move faster as they gain kinetic energy, resulting in increased collision rates and an increased rate of diffusion. In a solid, the particles pack together as tightly as possible in a neat and ordered arrangement."</h2>

<h3><em>I hope this helps. :)</em></h3>
3 0
3 years ago
A recipe for 8 apple dash cinnamon muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with
Brilliant_brown [7]

Answer:

you can make 14 muffins

Step-by-step explanation:

To get this answer you first need to know that 1 cup makes 8 muffins. Next know that there's 1 3/4 cups of flour. Because you know that 1 cup makes 8 muffins you need to figure out how many muffins 3/4 a cup of flour can make. To do this you divide 8 by 4. Hence 8 divided by 4 is 2. So know you know that for every 1/4 cup you can make 2 muffins. Now since there's 3/4 cup of flour you then multiply 2 by 3 which is 6. Now you have to add 1 cup ( 8 muffins) to 3/4 cup ( 6 muffins ) of flour which then equals 14. You then get the answer , 1 3/4 cups of flour can make 14 muffins. Hope this helped ;)

6 0
3 years ago
The university is on a bearing of 050 degrees from the stadium and 300 degrees from the hospital. Mark the position of the unive
Licemer1 [7]

Answer:

Check Explanation

Step-by-step explanation:

The map isn't available, but, one can draw this bearings with the descriptions given

Angles for bearings are usually drawn, reading from the north direction.

A sketch of the described bearings and locations of the stadium, university and the hospital is presented in the attached image to this question.

For the sketch on the map.

On The map, draw a four-cardinal points' cross at the stadium draw a line from the bearing 050° from the stadium's four cardinal points' cross. Leave the line as it is.

Then, draw another four cardinal points' cross at the hospital and draw a line from the bearing 300° from the hospital's four cardinal points' cross.

Wherever the line from the hospital meets the line from the stadium, is where the University is located.

Hope this Helps!!!!

6 0
3 years ago
Other questions:
  • I scored 32 more points on my second unit test than I did on my first. My total points for both tests was 164. What did I score
    15·1 answer
  • Which angles are coterminal with 3pi/2?
    6·2 answers
  • Three-fourths of the ice cream has been eaten. How many twelfths is that?
    12·1 answer
  • Use addition to solve the linear system of equations. Include all of your work in your final answer.
    11·1 answer
  • In the coronet plane, what is the length of the line segment that connects points at (5, 4) and (-3, -1)? Enter your answer in t
    5·1 answer
  • What is one difference between the current ratio and the times interest earned ratio??
    6·2 answers
  • Which equation describe the line through the points (2,-4) and (5,8)
    10·1 answer
  • Please help. Assignment is due today! The screenshot is down below!
    7·2 answers
  • PLEASE ANSWER STRAIGHT AWAY
    11·2 answers
  • Students in 7th grade took a standardized math test that they also had taken in 5th grade. The results are shown on the dot plot
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!