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
umka21 [38]
3 years ago
7

What is the complete factorization of the polynomial below? X3-4x^2+x-4

Mathematics
1 answer:
OLga [1]3 years ago
3 0

Answer:  (x - 4)(x - (i))(x + (i))

Step-by-step explanation:

This factoring job lends itself well to synthetic division.  Looking at the constant term, -4, I came up with several possible roots based upon -4:  {±1, ±2, ±4}.  I chose +4 as my first trial root.  Sure enough, there was a zero remainder, which indicated that 4 is a root of this polynomial and (x - 4) is a factor.  The coefficients of the trinomial quotients are 1   0   1, which indicates a quotient of x^2 + 1, which has the following roots:  x = +(i) and x = -(i)

So the complete factorization of the polynomial is (x - 4)(x - (i))(x + (i)).

4   )   1    -4    1    -4

    ----------------------

Answer:

      1

You might be interested in
2x = 17 is a linear function<br> True<br> False
xz_007 [3.2K]

Answer:

False

Step-by-step explanation:

a linear function is always in the form y=(f)x=bx+a

That means that there will not be one set answer and the line can be graphed. Your question is an equation, but not a linear one because there is only one set answer which would be 17/2=8.5.

5 0
3 years ago
How do you write 4.8 repeating as a fraction
gulaghasi [49]
24/5
I think this is the right answer, hope this help
8 0
3 years ago
Solve the following question. *
n200080 [17]

Answer:

The mean of x and y is equal to t.

Step-by-step explanation:

Given that,

The mean of t and t+2 is x.

The mean of t and t-2 is y.

i.e.

x=\dfrac{t+t+2}{2}\\\\x=(t+1)

and

y=\dfrac{t+t-2}{2}\\\\x=(t-1)

The mean of x and y is :

M=\dfrac{x+y}{2}\\\\M=\dfrac{(t+1)+(t-1)}{2}\\\\M=\dfrac{2t}{2}\\\\M=t

Hence, the mean of x and y is equal to t.

7 0
3 years ago
At the carnival, 9 friends bought 214 tickets.If they wanted to split all the tickets so each friend got the same amount,how man
Oxana [17]
They would need to by 3 more tickets. 214 divided by 9 = 23 with the remainder of 3. So I divided 217 by 9 = 23. I added 3 to 214 which got a whole answer 23.


I hope I helped.
7 0
3 years ago
Read 2 more answers
Newton's second law says force (f) is equal to mass (m) times acceration (a). A scientist wants to calculate the force of an obj
elixir [45]
Force = mass x accerelation
= 0.29 x 9.8
= 2.842 N
7 0
3 years ago
Read 2 more answers
Other questions:
  • If a pair of perpendicular lines are rotated, which is true?
    15·1 answer
  • Ethan buys a video game on sale. If the video game usually costs $39.99, and it was on sale for 20% off, how much did Ethan pay.
    5·2 answers
  • 675,360.41 in expanded notation
    14·2 answers
  • It takes 53 minutes for 6 people to paint 6 walls. How many minutes does it take 20 people to paint 20 walls?
    14·2 answers
  • 22(x)=44 what is the answer to this problem?
    14·2 answers
  • a pile of steel plates is 2.75 feet high. if the plates are 0.375 inch thick. how many are there in the pile.
    13·1 answer
  • During a science investigation six students divided 15 pounds of potting soil equally write an equation that shows how many poun
    14·1 answer
  • The cost of a smartphone is $199. A newer model costs 10% more. Which choice is closest to the sale price of the newer model aft
    15·1 answer
  • You buy 3.18 pounds of apples, 1.25 pounds of pears, and 2.67 pounds of oranges. What is your total bill rounded to the nearest
    5·2 answers
  • Alberto’s monthly income is $3,200. Part of Alberto’s monthly budget is shown in the table.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!