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
Diano4ka-milaya [45]
2 years ago
5

Factor each completely.one zero has been given

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

The polynomials in <em>factored</em> form are listed below:

  1. <em>f(x) = (x - 3.043) · (x - 1.521 - i 1.716) · (x - 1.521 + i 1.716)</em>
  2. <em>f(x) = (x - 2.236) · (x - 2) · (x + 2.236) · (x + 4)</em>
  3. <em>f(x) = (x + 3) · (x - 5) · (x - 1)</em>
  4. <em>f(x) = (x - 4) · (x - 3) · (x - 1) · x</em>
<h3>How to factor polynomials</h3>

In this question we must factor polynomials as there are both <em>numerical</em> and <em>analytical</em> methods. Mathematically speaking, factoring polynomials is represented by the following formula:

\sum^{n}_{i = 0} \,c_{i}\cdot x^{i} = \prod^{n}_{i=1}(x-r_{i}), \forall\,x, r_{i}\in \mathbb{C}   (1)

Where:

  • c_{i} - i-th Coefficient
  • r_{i} - i-th Root

Regarding <em>fourth order</em> polynomials we can solve them by Ferrari's method and <em>third order</em> polynomials by Descartes' method. Then, the solutions of each polynomials are given below:

<h3>Polynomial 1 (f(x) = x^{3}-4\cdot x +16)</h3>

<em>f(x) = (x - 4) · (x - 3) · (x - 1) · x</em>

<h3>Polynomial 2 (f(x) = x^{4}+2\cdot x^{3}-13\cdot x^{2}-10\cdot x + 40)</h3>

<em>f(x) = (x - 2.236) · (x - 2) · (x + 2.236) · (x + 4)</em>

<h3>Polynomial 3 (f(x) = x^{3}-3\cdot x^{2}-13\cdot x +15)</h3>

<em>f(x) = (x + 3) · (x - 5) · (x - 1)</em>

<h3>Polynomial 4 (f(x) = x^{4}-8\cdot x^{3}+19\cdot x^{2}-12\cdot x)</h3>

<em>f(x) = (x - 4) · (x - 3) · (x - 1) · x</em>

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/17822016

You might be interested in
PLZ HALP!!! STUDY ISLAND BE MEAN
irakobra [83]
Can you post it with a bigger picture? I can’t see it sorry :(
7 0
3 years ago
The aspect ratio is used when calculating the aerodynamic efficiency of the wing of a plane. For a standard wing area,
MAXImum [283]

Answer: A

Step-by-step explanation:

just took the test

5 0
3 years ago
Read 2 more answers
The area of triangle
adoni [48]
The area of a triangle is area=1/2•base•height or a= b•h / 2
8 0
3 years ago
What is the solution of each system of equations? Show your work-6x-5y=64x+y=3
elena55 [62]

Answer:

-6y = 70x = 3

Step-by-step explanation:

-6x - 5y= 64x+ y=3

 ---------------------------  

       -y            - y

---------------------------------

-6x -6y = 64x = 3

------------------------------------

+6x        +6x

-------------------------------------

-6y = 70x = 3

6 0
2 years ago
Read 2 more answers
Can someone please help me with math.
Nat2105 [25]

Answer:

I think -3

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is the product of 2x19x50
    15·1 answer
  • 8 out of 40 men wear glasses. write this as a fraction in its lowest terms
    7·1 answer
  • The data represents the daily rainfall​ (in inches) for one month. Construct a frequency distribution beginning with a lower cla
    10·1 answer
  • How do I solve for x plz help
    9·1 answer
  • At the market 7 apples cost 4.55 how much does 9 apples cost
    8·2 answers
  • In which number is the value of the 9 ten <br> times the value of the number nine in the number 920
    11·1 answer
  • Tyras father is two more than three times as old as she
    11·2 answers
  • Why do you think "imaginary" was considered derogatory?
    11·1 answer
  • Please solve!!!!thanks
    8·2 answers
  • The healthcare provider prescribes an IV solution of ampicillin 1 gram in 50 mL of DşW at 25 drops/minute. The nurse uses an inf
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!