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
Marat540 [252]
3 years ago
13

What is x^3−x^2−x+1 divided by x^2−2x+1 ?

Mathematics
2 answers:
Mars2501 [29]3 years ago
7 0

 

\displaystyle\bf\\x^3-x^2-x+1 = \\\\=x^2(x - 1) - (x - 1)= \\\\=(x - 1)(x^2 - 1) =\\\\= (x - 1)(x - 1)(x + 1) = \\\\=(x - 1)^2(x + 1) = \\\\(x^2 - 2x + 1)(x + 1)\\\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\\(x^2 - 2x + 1)(x + 1)~\vdots~(x^2 - 2x + 1)\\\\\implies~~x^3-x^2-x+1~~\text{ is divisible by }~~ x^2-2x+1 \\\\Verify:\\\\\frac{x^3-x^2-x+1}{x^2-2x+1}=\frac{(x^2 - 2x + 1)(x + 1)}{x^2-2x+1}=x+1



shutvik [7]3 years ago
5 0
X^3-x^2-x+1 divided by x^2-2x+1 equals x + 1
You might be interested in
Each of the p children at a park receives at least 3 balloons. If the children receive 150 balloons in all, find the maximum num
STALIN [3.7K]
The answer i think is 50

3 0
3 years ago
Read 2 more answers
Which test point holds true for y − 2x ≤ 1?
Ira Lisetskai [31]
2 - 2 * 0 ≤ 1 
<span>2 ≤ 1 </span>

<span>4 - 2 * (-2) ≤ 1 </span>
<span>8 ≤ 1 </span>

<span>4 - 2 * (1) ≤ 1 </span>
<span>2 ≤ 1 </span>

<span>0 - 2 * 5 ≤ 1 </span>
<span>-10 ≤ 1 </span>
<span>(TRUE</span>
3 0
3 years ago
(2,0) (3,9) equation
valkas [14]

Answer: if ur  trying to do the equation for coordinate planes its

Y2-y1.

                 X1-x2

Step-by-step explanation:

That's what i was taught I'm in 8th grade tho so

6 0
3 years ago
First, Khianna must walk from the front gate to the Ferris wheel. This distance is 2.5 cm on Khianna's map. How far is the actua
spin [16.1K]
Okie doke. 1cm on the map equals 500 meters. The distance from the gate to the ferris wheel on the map is 2.5cm. To find the actual distance, multiply the length on the map by the distance per centimeter. 500 * 2.5 is 1,250. The actual distance is 1,250 meters.

Note: When it comes to problems like these, you must always multiply the distance on the map by the scale unit (in other words, the actual distance on how far it is per the smaller unit).
7 0
3 years ago
Only answer if you know you are correct
Rama09 [41]

Answer:

The answer is red. I used process of elimination to solve this. I know that blue, yellow, and green aren't correct, so it's red.

Step-by-step explanation:

Please tell me if I'm correct.

7 0
3 years ago
Other questions:
  • The Richter scale is used to measure the intensity of an earthquake. If E, measured in joules, is the energy released during an
    15·1 answer
  • Bradley and his family drove to visit a museum. They drove 9/25 of the way and stopped for gasoline. Write the fraction of the d
    5·2 answers
  • A sail is in the form of a right angle that is four times as high as it is wide. The sail is made from 32 square meters of mater
    11·1 answer
  • The radius of the Earth is roughly twice the radius of the planet Mars. Raj claims that the volume of the Earth must therefore b
    6·1 answer
  • What is the solution to the system of equations? y = –3x – 2 5x + 2y = 15 (–40, 19) (–19, 55) (19, –40) (55, –19)
    7·1 answer
  • HHHHHEEEEELLLLLPPPPP!!!!!!!!!!!!!!!!!!
    15·1 answer
  • What does the slope of the equation represent?​
    9·1 answer
  • I need helpppp :((((((( 20 marks for this summative
    11·1 answer
  • Please please please help​
    13·1 answer
  • Given that line CD is a perpendicular bisector of triangle ABC, if side AB has a length of 11 and side AC has a length of 14 wha
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!