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
8+8+8=24 as multiplecation sentence
Viktor [21]

Answer

Hola la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

3 0
2 years ago
Help I need help on this question
Natali [406]

Answer:

56.4 degrees

Step-by-step explanation:

90 degrees - 33.6 degrees = 56.4 degrees

3 0
3 years ago
Read 2 more answers
James had $400 in his bank account. After
balandron [24]

Answer:

C

Step-by-step explanation:

400-160=240

240/4=60

3 0
2 years ago
Read 2 more answers
Common difference of 1 10 100 1000 What is the answer.
Maksim231197 [3]

Answer:

each time the numbers are being multiplied by 10

Step-by-step explanation:

1 × 10 = 10

10 × 10 = 100

100 × 10 = 1,000

hope this helps :)

5 0
2 years ago
Eileen collected 98 empty cans to recycle and Carl 82 cans. They packed a equal number of cans into each of three boxes. How man
Sonbull [250]

Answer: 60 cans in each box


Step-by-step explanation:

98+82=180

180/3=60

8 0
3 years ago
Other questions:
  • The cone shown has a volume of 12π in3. Find the volume of a cylinder with the same base and height as the cone.
    10·1 answer
  • Considered two events such that P(A)=3/5, P(B)=2/3, and P(AnB)=1/5. Are the events A and B independent events?
    6·1 answer
  • RSTU is a parallelogram.
    6·2 answers
  • What is the solution to the equation?
    6·1 answer
  • In Mr. Cannon's class, 44% scored an 80 or above on the semester exam. Which of the following is NOT equivalent to 44% Question
    11·1 answer
  • A line passes through the point (10,2) and has a slope of 1/2. Write an equation in slope-intercept form for this line.
    12·2 answers
  • Jordan has 300 pieces of candy. He gives Adrian ¼ pieces, 10% was given to Darien and he gave his little brother 25 pieces. Expl
    6·1 answer
  • Find the value of (- 7) +(-8)​
    13·1 answer
  • Mr. Moss had 2 gallons of paint. He painted 3 doors. How many benches can he paint with the paint that is​ left? Show your work.
    8·1 answer
  • 9 ( x + 4 ) = 63 <br> Solving 2 step equations
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!