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
Mashutka [201]
2 years ago
12

How do I use the Descartes Rule of Signs to determine all possible number of positive and negative zeros?

Mathematics
1 answer:
larisa [96]2 years ago
8 0

Answer:

We conclude that:

  • 2  or 0 positive real roots
  • 2  or 0 negative real roots

Step-by-step explanation:

Descartes Rule states that if the terms of a single-variable polynomial with real coefficients are ordered by descending variable exponent, then the number of positive roots of the polynomial is:

  • Either equal to the number of sign differences between consecutive nonzero coefficients,
  • Or is less than it by an even number.

Given the function

f\left(x\right)=x^4-2x^3-4x^2+2x+3

So, the coefficients are 1, −2, −4, 2, 3

As can be seen, there are 2 changes.

This means that there are 2 or 0 positive real roots.

To find the number of negative real roots, substitute x with -x in the given polynomial:

x^4-2x^3-4x^2+2x+3  becomes x^4+2x^3-4x^2-2x+3

The coefficients are 1, 2, −4, −2, 3

As can be seen, there are 2 changes.

This means that there are 2 or 0 negative real roots.

Therefore, we conclude that:

  • 2  or 0 positive real roots
  • 2  or 0 negative real roots

You might be interested in
Please help for brainliest (Click to see picture)
mihalych1998 [28]

Answer:

3/8 is #1

3/16 is #2

4/9 is #3

Step-by-step explanation:

Download pdf
7 0
2 years ago
Read 2 more answers
Which net represents the figure?
charle [14.2K]
The fourth one. If you were to fold it in, it would be that exact shape.
5 0
2 years ago
Read 2 more answers
What is 5/12 + 5/12?
agasfer [191]

Answer:

\frac{5}{6}

Step-by-step explanation:

1) Join the denominators.

\frac{5 + 5}{12}

2) Simplify.

\frac{10}{12}

3) Simplify.

\frac{5}{6}

Therefor, the answer is 5/6.

and in decimal from it will be, 0.8333333.

5 0
2 years ago
A projectile is fired at 571 mi hr. How fast is that in meters per second to the nearest whole value? Use the conversion factor
ELEN [110]

Answer:

Consider this: factors that are the same that are in the numerator and denominator of a fraction cancel out.

e.g. 20/30 = [2(10)]/[3(10)] = 2/3      This is because the 10 present in the numerator exactly equals the 10 present in the denominator.

We can use the above principle for these types of problems!

If the projectile is fired at 422 mi/hr, and we want to convert this speed into m/s, we just need to go through the following process:

422 mi/hr * 1610m/1mi * 1hr/60min * 1min/60s = 189 m/s

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the measure of DHF in circle H? <br> 270<br> 90<br> 220<br> 130
Natalka [10]

Answer: 220

Step-by-step explanation: 130 degrees + the 90 degree angle = 220 degrees

Hope this helps:)

3 0
3 years ago
Other questions:
  • sharon has some almonds. after buying another 350 grams of almonds,she now has 1,230 grams of almonds. How many almond did Sharo
    8·1 answer
  • How do you divide 1812 by 4
    9·2 answers
  • Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?
    8·2 answers
  • Graph the linear function whose equation is y - 2 = - (x + 1)
    13·1 answer
  • A rectangular prism is 4 units by 2 1/2 units by 1 1/2 units. How many cubes with a side length of 1/2 unit will completely fill
    13·1 answer
  • Suppose the temperature at 6pm was 30 f. What would the temperature have been
    6·1 answer
  • Plz guys help me with that questions plz<br><br>plz guys help me
    7·2 answers
  • I need to no the answer to this
    9·1 answer
  • What is the length of the line segment with endpoints (−3,8)(−3,8) and (7, 8)(7, 8) ????????
    9·1 answer
  • Given : AB = BC and BC = CD, AB = 3x - 1 and CD = 2x + 3 Prove: BC = 11 plz help me
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!