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
Daniel [21]
3 years ago
9

Consider the polynomial f(x) = 5x4+ 3x2+ x + 19. How many complex solutions does the polynomial have?

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:

  1. there are 4 complex solutions
  2. 3 real zeros and 2 complex zeros

Step-by-step explanation:

1. Descarte's rule of signs tells you there are 0 positive real roots and 0 or 2 negative real roots. (for positive x, signs are ++++ so have no changes; for negative x, signs are ++-+, so have 2 changes.) A graph shows no real roots.

2. There are 3 sign changes in the given polynomial, so 3 or 1 positive real roots. When the sign of x is changed, there are 2 sign changes, so 0 or 2 negative real roots. A graph shows 2 negative and one positive real root (for a total of 3), so the remaining 2 roots are complex.

You might be interested in
Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in stan
OlgaM077 [116]

Answer:

y = 1/2x + 5

Step-by-step explanation:

Given :

Slope, m = 1/2

(x1, y1) = (6, 8)

y - y1 = m(x - x1)

y - 8 = 1/2(x - 6)

y - 8 = 1/2x - 3

y - 8 + 8 = 1/2x - 3 + 8

y = 1/2x + 5

Stamdard form of equation :

y = mx + c

Hence, equation is :

y = 1/2x + 5

7 0
3 years ago
Find the sum of all the factors of 32 that are multiples of 4
pshichka [43]
Well all the factors of 32 are 1 and 32, 2 and 16, 4 and 8.
6 0
2 years ago
Read 2 more answers
Okay in this input and output function
Monica [59]
As the input goes up by 3, the output goes down by 1.
6 0
3 years ago
You are getting a car wash for $45.50. You have to pay 5% sales tax and you want to tip the person who washed your car 20%. How
belka [17]

Answer:

$56.88

Step-by-step explanation:

amount paying for sales tax---> $2.28

amount paying for tip---> $9.1

amount paying for car wash---> $45.50

$2.28 + $9.1 + $45.50= $<u><em>56.88</em></u>

5 0
3 years ago
Read 2 more answers
Yesterday, george drank 1 small bottle and 2 large bottles, for a total of 1,372 grams. The day before , he drank 1 small bottle
Sergio039 [100]
S + 2l = 1372
s + l =858

s + 2l = 1372
-s - l =. - 858

l= 514 grams a large bottle

s + 514= 858

s = 344 grams a small bottle
3 0
3 years ago
Other questions:
  • A team played 38 matched in a football league. They won 22 matches and Lost nine matches. The rest of the matches were draws. Th
    12·1 answer
  • Triangle ABC was transformed using the rule (x, y) → (–y, x). The vertices of the triangles are shown. A (–1, 1) B (1, 1) C (1,
    15·2 answers
  • Laila read 36 pages in 4 hours. Which expression can be used to find the number of pages she read per hour?
    11·2 answers
  • There are 800 students in the School of Business Administration. There are four majors in the School: Accounting, Finance, Manag
    10·1 answer
  • There our 5 fish in a tank 3 of them drown and 2 of them swam away how many our left?
    15·2 answers
  • Is 8/12 greater than 10/15?<br><br> and how do you know?
    8·2 answers
  • The area of a rectangle is 8x4. If the length is<br><br> 2x3, find the width.
    13·1 answer
  • Can someone help me with this I don’t know that answer and I really want to pass please
    14·1 answer
  • Given f (x) = 2x - 10 forwhichvalueofxthat f (x) = -12
    12·2 answers
  • Write a function g whose graph represents the indicated transformation of the graph of f.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!