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
Sauron [17]
3 years ago
5

Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the func

tion f). k = 2; f(x) = 5x4 + 4x3 - 2x2 + 2x + 4; Upper bound?

Mathematics
2 answers:
mote1985 [20]3 years ago
8 0

Solution:

The given Polynomial is :

f(x) = 5x^4 + 4x^3 - 2x^2 + 2x + 4=5( x^4 + \frac{4}{5}x^3 - \frac{2}{5}x^2 + \frac{2}{5}x + \frac{4}{5})

By Rational Root theorem the  of Zeroes of the Polynopmial are:

\pm\frac{1}{5},\pm\frac{2}{5},\pm\frac{4}{5},\pm1,\pm2,\pm4

But , f(\pm\frac{1}{5},\pm\frac{2}{5},\pm\frac{4}{5},\pm1,\pm2,\pm4)\neq 0

So, no root of this polynomial is real.

Therefore, All the four roots of Polynomial are imaginary.

So, we can't say whether the number k=2, is an upper or lower bound of the polynomial f(x) = 5x^4 + 4x^3 - 2x^2 + 2x + 4=5( x^4 + \frac{4}{5}x^3 - \frac{2}{5}x^2 + \frac{2}{5}x + \frac{4}{5}).

victus00 [196]3 years ago
8 0
No, it is a lower bound.
You might be interested in
Notice that the original recipe calls for 1/4 cup of water. If you put in 3/8 cup of water, by how much have you multiplied the
Doss [256]

Answer:

2.5x more people being served

and 2.5x more water

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Triangle GHI is similar to triangle JKL. Find the measure of side JK. Round your
ki77a [65]

Answer:

JK = 18.8

Step-by-step explanation:

7/33 = 4/JK

132 = 7JK

JK = 18.86

6 0
3 years ago
Read 2 more answers
Share $600 between Anna and Raman in the ratio 3:7 and 1:4
Ulleksa [173]

Answer:

3 : 7 =>

Anna = $180

Raman = $420

1 : 4 =>

Anna = $120

Raman = $480

Step-by-step explanation:

<u>Shares when ratio is 3 : 7</u>

Anna : Raman = 3 : 7

Sum of ratio 10

Anna's share=

                   \frac{3}{10} \times 600 = \$  180

Raman 's share=

                  \frac{7}{10} \times 600 = \$ 420

<u>Shares when ratio is 1 : 4</u>

Anna : Raman = 1 : 4

Sum of ratio = 5

Anna 's share =

                   \frac{1}{5} \times 600 = \$ 120

Raman's share =

                  \frac{4}{5} \times 600 = \$ 480

8 0
3 years ago
If a polygon is a pentagon, then it has 5 sides hypothesis conclusion
quester [9]

Answer:

Hypothesis

 

Step-by-step explanation:

 a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.

hope this helps

8 0
3 years ago
Read 2 more answers
A store offered a 20% price discount on all items on Friday. By what fraction of the discounted price of an item did the price i
grin007 [14]

Answer:

What were two of the important points found in the Monroe Doctrine?

All European nations had to give up their colonies and allow for individual autonomy.

The United States would not allow additional colonization of Latin American nations.

America would not interfere with already established Latin American colonies.

All trade agreements with Latin American nations had to go through the United States.

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • 5 pounds for $19.00 Cost per pound how much is it for one pound<br>​
    5·2 answers
  • In a list of numbers, the pattern increases by 0.001 as you move to the right. If the third number in the list is 0.046, what is
    6·1 answer
  • Given the function f'() = –2x3 + 36x2 – 90x, determine all intervals on which<br> f is increasing
    11·1 answer
  • Brenda is building a square fence. She places a fence post at (─3,2). What is the location of the post (in which quadrant) that
    6·1 answer
  • Plz help. will give alot of points<br> .
    6·2 answers
  • A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all
    11·2 answers
  • A school custodian discovered a leak in a water pipe. The custodian found that 2,432 fluid ounces of water had leaked out. How m
    7·1 answer
  • Simplify.<br> Remove all perfect squares from inside the square root.<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7B63%7D" id=
    12·1 answer
  • Change the recurring decimal into fraction, 3.256
    14·1 answer
  • Use the graph to answer the following…
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!