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
Can someone Evaluate 2(4-1)^2
SIZIF [17.4K]

Answer:

The answer is 36

Step-by-step explanation:

First solve in parenthesis; 4-1=3

Then multiply that by the 2 to get 6

Then raise that value by the square root of 6^2 = 36

5 0
3 years ago
Read 2 more answers
What is the effect on the graph of the function f(x) = 7x^3 when f(x) is replaced with f(x − 5)?
Otrada [13]

Answer:

translate horizontally 5 units left

5 0
2 years ago
Is 23/3 a irrational number
xxTIMURxx [149]

Answer:

No.

Step-by-step explanation:

All numbers that are able to be represented as fractions with whole numbers are rational.

8 0
3 years ago
Read 2 more answers
The ratio of pencils to erasers is 4:1 if there are 208 pencils,how many erasers are there?
Neko [114]

Answer:

52

Step-by-step explanation:

for every 4 pencils there is 1 eraser.  4/1=208/x

4x=208

x=52

7 0
3 years ago
How would i solvd this problem as sn improper fraction 2 1/8
zmey [24]
17/8..........................................
7 0
3 years ago
Read 2 more answers
Other questions:
  • If ru is an altitude of rst find rs
    13·1 answer
  • An urn contains ten chips. An unknown number of chips are white' the others are red. We wish to test:
    8·1 answer
  • Please help me now plz <br> I will mark you brainliest
    11·1 answer
  • Katie has a 75% chance of making an A on a test. What is the probability that she will not make an A on her next two test: Algeb
    8·2 answers
  • What is the nth term rule of the quadratic sequence below? 4 , 6 , 10 , 16 , 24 , 34 , 46
    14·1 answer
  • The ratio of the measures of two complementary angle is 1:8, find the measure of each angle, the small and the large
    7·1 answer
  • 1/2x-3=9 please bhelp me
    7·2 answers
  • Rafael is a virologist who wants to determine the number of people who might be affected by a particular disease 30 years from n
    15·1 answer
  • Plz answer....,.......................
    11·1 answer
  • Need ASAP in 10 min pls
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!