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
mart [117]
3 years ago
9

Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (

x−2)(x+1)(x+i2√)(x−i2√)
Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0

Answer:

Factors: (x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

Step-by-step explanation:

We are given a polynomial:

f(x)=x^4-x^3-2x-4

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

You might be interested in
Can u answer this mathematics question and show your work
Mnenie [13.5K]

See this solution/explanation (answer is '7 meters'):

1. According to the condition 'y' means the height, and 'x' - the length from the start of the lift hill.

2. The phrase 'height of 343 meters' means y=343.

3. From the another side y=x³. If to substitute 343 instead of 'y': 343=x³, - it is possible to find the value of 'x'.

x=<u>7 [m]</u> - how far from the start of the lift hill...

5 0
3 years ago
How to find canonical form of equation of a line then general form is given
lisabon 2012 [21]
It is a math mathematical form of objects natural stance, to find it you need the positive integer and its finite sequence of digits.
4 0
3 years ago
Find an equation for the perpendicular bisector of the line segment whose endpoints are (8,-5)(8,−5) and (4,3)(4,3).
Marysya12 [62]

Answer:

Correct answer\\y=\frac{1}{2} x-4

Step-by-step explanation:

y-\frac{-5+3}{2} =\frac{-1}{\frac{3-(-5)}{4-8} } (x-\frac{4+8}{2} )\\y+1=\frac{1}{2} (x-6)\\y=\frac{1}{2} x-4

6 0
2 years ago
The sum of two numbers is 30 &amp; their difference is 12.
nika2105 [10]
X+y=30
x-y=12
add them together

x+y=30
<u>x-y=12+</u>
2x+0y=42

2x=42
divide 2
x=21

subsitute
x+y=30
21+y=30
subtrat 21
y=9


number sare 21 and 9
7 0
3 years ago
Read 2 more answers
Order the given rational numbers from least to greatest:
n200080 [17]

Answer:

-4 1/4

-4 1/4

-3 1/3

-3.3

3

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.
    7·1 answer
  • in a game involving a pair of fair dice a player rolls the dice until he gets a sum of 7 let z equal the number of rolls it take
    9·1 answer
  • Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water
    15·2 answers
  • in a mix of red and white pebbles in a bag in the ratio of 3 to 7. Find the probability that if 3 pebbles are chosen from the mi
    7·1 answer
  • What does a closed circle on a number line mean?
    6·1 answer
  • Find the measure of a 2.<br> 45 135<br> 62 = [?]
    8·1 answer
  • A=90<br> B=38<br> C=45<br> D=52<br> Thanks
    7·1 answer
  • Which theorem can you use to show TVR is congruent SRV? SAS, AAS, ASA or SSS?
    10·1 answer
  • What is the value of b ?
    14·1 answer
  • What is the solution of this equation 6x - 5 = -17
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!