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
Crazy boy [7]
3 years ago
5

What are all of the real roots of the following polynomial? f(x) = x5 + 5x4 - 5x3 - 25x2 + 4x + 20

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
8 0
F(x)=x^5 + 5*x^4 - 5*x^3 - 25*x^2 + 4*x + 20

By examining the coefficients of the polynomial, we find that
1+5-5-25+4+20=0 => (x-1) is a factor
Now, reverse the sign of coefficients of odd powers,
-1+5+5-25-4+20=0 => (x+1) is a factor

By the rational roots theorem, we can continue to try x=2, or factor x-2=0
2^5+5(2^4)-5(2^3)-25(2^2)+4(2)+20=0
and similarly f(-2)=0
So we have found four of the 5 real roots.
The remainder can be found by synthetic division as x=-5


Answer: The real roots of the given polynomial are: {-5,-2,-1.1.2}

IgorC [24]3 years ago
3 0

Answer:

The real roots are the following=

Step-by-step explanation:

{ -5,-2 , -1.1.2 }

You might be interested in
Please help.<br> Algebra.
Arlecino [84]

Answer:

Step-by-step explanation:

4)  C looks pretty good

5)  D looks great  

:)   ask if you'd like to know how I figured that out

6 0
3 years ago
Determine the vertex of the function below and rewrite it in vertex form.<br> y=-x^2-14x-59
Sauron [17]
The answer is 6969.
4 0
3 years ago
What’s this I don’t know
avanturin [10]

Answer:

C.

Step-by-step explanation:

its C.

7 0
2 years ago
How many grams in a kilo gram
HACTEHA [7]
There are 1,000 grams in a kilogram

7 0
3 years ago
If the height of the cone, h, is 15 centimeters and the radius of the base, r, is 5 centimeters, what is the volume of the conte
Deffense [45]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

h represents the height of the cone

r represents the radius of the cone

π is a constant whose value is 3.14

From the information given

Radius = 5 centimeters

Height = 15 centimeters

Therefore,

Volume of cone = 1/3 × 3.14 × 5² × 15 = 392.5 cubic centimeters

4 0
3 years ago
Other questions:
  • There are 9 men and 33 women running a race. What is the ratio of the number of male runners to the number of female runners?
    7·1 answer
  • A pizza place offers 4 different cheeses and 10 different toppings. In how many ways can a pizza be made with 2 cheese and 3 top
    12·2 answers
  • This??? What is wrong with it?
    9·1 answer
  • What is the difference beetween 280.09 and 253,42
    7·1 answer
  • PLEASE SOMEONE ANSWER THIS !!
    5·1 answer
  • A school bus started from the zoo, at point (4, -4), and then traveled 10 units up and 6 units to the left to reach the school.
    12·2 answers
  • Point HH is located at (4,-2)(4,−2) on the coordinate plane. Point HH is reflected over the yy-axis to create point H'H ′ . Poin
    9·1 answer
  • A quilt is made of 12 squares of equal size. Each square measures 15 cm by 15 cm.
    10·2 answers
  • A bag contains 2 red marbles, 4 blue marbles and 8 green marbles. If two marbles are drawn out of the bag, what is the probabili
    7·1 answer
  • What is the median of the following data set?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!