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
Reptile [31]
2 years ago
12

How many complex zeros does the polynomial function have? f(x)=−3x^6−2x^4+5x+6

Mathematics
1 answer:
REY [17]2 years ago
7 0

one way would be to factor

I can't factor it so we will have to use Descartes' Rule of Signs which is helpful for finding how many real roots you have


it goes like this:

for a polynomial with real coefients, consider f(x)=-3x^6-2x^4+5x+6.

after arranging the terms in decending order in terms of degree, count how many times the signs of the coeffients change direction and minus 2 from that number until you get to 1 or 0. that will be the number of even roots the function can have

We have (-, -, +, +). the signs changed 1 times, so it has 1 real positive root


to get the negative roots, we evaluate f(-x) and see how many times the root changes

f(-x)=-3x^6-2x^4-5x+6

signs are (-, -, -, +). there was 1 change in sign

so the function has 1 real negative root



a total of 2 real roots


a function of degree n can have at most, n roots


our function is degree 6 so it has 6 roots

if 2 are real, then the others must be complex

6-2=4 so there are 4 complex roots


you can also show that there are only 2 real roots by using a graphing utility to see that there are only 2 real roots

You might be interested in
What Is the Slope And Y Intercept Of This Line?<br><br> Y = X -5
asambeis [7]

Answer:

slope = 1 , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = x - 5 is in this form

with slope m = 1 and y- intercept c = - 5


6 0
3 years ago
Is prime a composite number, a prime number, both or neither? Pease explain.
Annette [7]
Composite number is made up of 2 or more prime numbers
a prime number is only made up of itself and 1

composite and prime numbers are like oposites

a prime is not a composite but it is a prime number
confusing quesiton

5 0
2 years ago
I need help!!!<br><br> 15 points!!
Slav-nsk [51]

Answer:

the answer is B

\frac{5}{14}

7 0
3 years ago
Calvin, Eli, lunch and Cora are preparing hygiene kits for the Red Cross. Calvin fill four in three minutes, Eli fills 75 per ho
IrinaVladis [17]
Lucy

Lucy = 1.5 every minute
Calvin = 1.3
Eli = 1.25
Cora = 1.16
3 0
2 years ago
Amy had homework for math,science,and history.she spent 1/3 of her time working on math and 1/4 of her time working on science.
Alja [10]
First we need to multiply to make the fractions have equal denominators so we can add/subtract.

math: 1/3 x 4/4=4/12
science: 1/4 x 3/3=3/12

Now we can find the time she spent on history (I assume this is what you are looking for)

Total time-math time<span>-science time=history time</span>
12/12-4/12-3/12
=5/12

Amy spent 5/12 of her time working on history.

8 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following is three dimensional an infinitely large
    7·1 answer
  • In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev
    6·1 answer
  • Which fraction is the largest between 3/16, 8/35, 11/23, 1/8, and 1/3.
    13·2 answers
  • A basketball player, who hits 70% of her free throws, shoots ten free throws in a tournament. assume that whether or not she hit
    12·1 answer
  • 28,18,8,-2 is this arithmetic ?
    14·1 answer
  • -5x=y+2<br> 2(2x-1)=3-3y<br> What is the solution (x, y) to the system of equations above?
    7·1 answer
  • Which graph shows the system of equations<br><br><br>{2x+3y=5 4x−5y=−1
    6·1 answer
  • What are the domain and range of f(x) = 2(3X)?
    7·1 answer
  • 3) Puan wishes to build a garden at the bottom of his property. He wants to split in
    10·1 answer
  • V/9 - 7 = -8<br><br>I'll give brainliest!! please explain
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!