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
soldi70 [24.7K]
2 years ago
5

What are the possible numbers of positive, negative, and complex zeros of f(x) = x6 + x5 + x4 + 4x3 − 12x2 + 12?

Mathematics
2 answers:
gladu [14]2 years ago
5 0
As per Descartes Theorem, a polynomial of degree n (n is the highest exponent of a polynomial) has n roots (or number of zeros) be it positive, negative, real or complex.

in f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12, the highest degree is 6, then it has 
a total of 6 zeros, positive, negative, real or complex.
Lina20 [59]2 years ago
3 0

Answer:

Positive: 2 or 0; negative: 4, 2, or 0; complex: 6, 4, 2, or 0

Step-by-step explanation:

You might be interested in
The points J (-13,10) and K(-1,-6) are endpoints of a diameter of circle G. What is the equation of circle G?
In-s [12.5K]
The correct answer is D

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

to find (h,k), you find the middle of the circle, in this scenario you do so by finding the middle of the diameter, a line that goes through the center of the circle.

To find the X value of the midpoint, add both x values together and divide by 2 and repeat for y

-13 + -1 = -14
-14/2 =-7

10+ -6 = 4
4/2 = 2

therefore (h,k) = ( -7, 2 )

Next plug these values in the equation of a circle

(x-h)^2 + (y-k)^2 = r^2

becomes

(x- (-7)) ^2 + (y-(2)) ^2 = r^2

to find r, use the distance formula to find the length of the diameter, 20, and divide by 2


plug 10 in for r and you get 100

(x+7)^2 + (y-2)^2 = 100

sorry for the late response
7 0
3 years ago
Read 2 more answers
Find the equation, in standard form, of the linebpasing through the points (5,1) and (-2,3).
svet-max [94.6K]

Step-by-step explanation:

=(y-y1)=Y2-Y1/X2-X1(X-X1)

6 0
3 years ago
Read 2 more answers
Katie can swim 3 laps in the pool on 6 minutes. How many minutes will it take her to swim 10 laps?
storchak [24]

3 laps : 6 minuets

6/3 = 2

3/3 = 1

1 lap : 2 minuets

1 * 10 = 10

2 * 10 = 20

10 laps : 20 minuets

8 0
3 years ago
For the fiscal year 2007, a tax authority audited 1.55% of individual tax rotterns with income of $100,000 or more. Suppose this
svetoff [14.1K]

Answer:

I don't know anything sorry for inconvenience

6 0
2 years ago
What type of angle is this?​
alexgriva [62]

Answer:

Obtuse Angle

Step-by-step explanation:

It is greater than 90˚

6 0
2 years ago
Read 2 more answers
Other questions:
  • 8x-6&gt;6x<br><br><br> help me please
    10·1 answer
  • 6x-5y= 0 <br>4×-5y = -10​
    6·1 answer
  • Please help questions 18-20 for 49 POINTS
    5·2 answers
  • A square measures 8 inches on each side. What is its area rounded off to the nearest square centimeter? (Note: 1 inch ≈ 2.54 cm)
    13·2 answers
  • You purchased paint for the rooms in your house. You have 1.5 cans of paint left. You painted 4 rooms and each room required 2 c
    14·2 answers
  • What is 2 times 4 i need a answer
    7·1 answer
  • Mark bought 2 pounds of walnuts for 25.50 Approximately how much will he pay for 7 pounds of walnuts​
    9·1 answer
  • create a problem using radios of for your guardian/parent or friends solve. write both of your problems and Solutions in your Jo
    12·1 answer
  • How much be the value of x in y_axix?​
    8·1 answer
  • The first five terms of a quadratic sequence is 1,8,21,40,65 .
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!