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
Sveta_85 [38]
2 years ago
10

Divided: x³-2x²-x+2 by x+1. Using long division method.​

Mathematics
2 answers:
Step2247 [10]2 years ago
8 0
<h2><u>ANSWER</u><u>:</u></h2>

<h3><u>2</u></h3>

<h2><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h2>

<u>CARR</u><u>Y</u><u> ON</u><u> LEARNING</u>

<u>CAN</u><u> </u><u>YOU</u><u> BRAINLEST</u><u> ME</u><u> PLEASE</u>

Aliun [14]2 years ago
7 0

\large\underline{\sf{Solution-}}

Given that

\purple{\rm :\longmapsto\:Dividend =  {x}^{3} -  {2x}^{2} - x + 2}

and

\purple{\rm :\longmapsto\:Divisor = x + 1}

So, By using Long Division Method, we have

\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\: {x}^{2} - 3x + 2\:\:}}}\\ {\underline{\sf{x  + 1}}}& {\sf{\: {x}^{3}  -  {2x}^{2} - x + 2 \:\:}} \\{\sf{}}& \underline{\sf{- {x}^{3} -  {x}^{2} \:  \: \:  \:  \:  \:  \:  \:  \:  \: \:\:}} \\ {{\sf{}}}& {\sf{\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  - 3{x}^{2} - x +2  \:  \:  \:  \:   \:  \:  \:  \:\:}} \\{\sf{}}& \underline{\sf{\:\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  3{x}^{2} + 3x  \:  \:  \:  \:  \:  \: \:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 2x  + 2 \:\:}} \\{\sf{}}& \underline{\sf{\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: - 2x - 2\:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 0\:\:}}  \end{array}\end{gathered}\end{gathered}\end{gathered}

<u>So, </u>

\bf\implies \:Remainder = 0

<u>Verification </u>

\purple{\rm :\longmapsto\:Dividend =  {x}^{3} -  {2x}^{2} - x + 2}

\purple{\rm :\longmapsto\:Divisor = x + 1}

\purple{\rm :\longmapsto\:Remainder = 0}

\purple{\rm :\longmapsto\:Quotient =  {x}^{2}  - 3x + 2}

<u>Now, Consider </u>

\rm :\longmapsto\:Divisor \times Quotient + Remainder

\rm \:  =  \: (x + 1)( {x}^{2} - 3x + 2) + 0

\rm \:  =  \:  {x}^{3} -  {3x}^{2} + 2x +  {x}^{2} - 3x + 2

\rm \:  =  \:  {x}^{3} -  {2x}^{2} - x + 2

\rm \:  =  \: Dividend

<u>Hence, Verified</u>

You might be interested in
Does anyone know the answer <br> 10 points
Sati [7]
0.36 if you round up to the hundredths
6 0
3 years ago
Read 2 more answers
Solve for x.3-sqrt(x)=0 What is the root? If there is none, choose none. x = 3 x = 9 none
Anon25 [30]

Answer:

x = 9

Step-by-step explanation:

You can solve this problem by isolating the variable.

3-√x = 0  

√x = 3 (add √x to both sides of the equation)

x = 9 (square both sides of the equation)

8 0
2 years ago
What is the contrapositive of "If it is Tuesday then Marie has soccer practice?
Furkat [3]
If Marie does not have soccer practice, then it is not a Tuesday
8 0
3 years ago
Based on a survey of U.S. residents completed in 2014, ___________ percent of respondents agreed that global warming is occurrin
Daniel [21]

Using the percentage concept, supposing 520 out of 1000 respondents believe in global warming, 52% of respondents agreed that global warming is occurring.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem, we suppose that 520 out of 1000 respondents believe in global warming, hence a = 520, b = 1000, and the percentage is of:

P = \frac{520}{1000} \times 100\% = 52\%

More can be learned about the percentage concept at brainly.com/question/10491646

3 0
1 year ago
Judy pays $29 for 8 gallons of gas and 2 bottles of water. Carmen pays $45 for 12 gallons of gas and 4 bottles of water. How muc
Dmitry [639]
G=gas
w=bottle of water

8g + 2w = 29
12g + 4w = 45
I'm going to use elimination to cancel out the variable w by multiplying the first equation by -2.

-16g - 4w = -58
12g + 4w = 45
-4g = -13
/-4 /-4
g = 3.25

Now plug it into an equation, any equation.
8 (3.25) + 2w = 29
26 +2w=29
w=1.5
Now to check, plug it into both equations if you want.

12 (3.25) + 4 (1.5)=45
39 + 6=45

One bottle of water is $1.50, while one gallon of gas is $3.25.
5 0
3 years ago
Other questions:
  • 39,189 rounded to nearest thousand
    14·1 answer
  • jasmyn and her three friends went out for lunch. They decided to leave a 15% percent tip. The receipt showed a total of $42.98 b
    5·1 answer
  • The mean of a set of 5 numbers is 12. One of the numbers in the set is 16. If 16 is removed from the list, what is the new mean?
    5·1 answer
  • A 36-foot-tall tree casts a 9-foot shadow. How tall is a nearby tree that casts a 14-foot shadow at the same time?
    15·1 answer
  • Find the measure of each angle indicated (quadrilaterals)
    8·1 answer
  • If the expression is A= -7 and B= 3, what does -2b+a equal?
    6·1 answer
  • The boiling point of jet fuel is 329 Fahrenheit round to the nearest degree what is the temperature in degrees Celsius use the f
    8·1 answer
  • Pls help giving brainliest ty !
    15·2 answers
  • Nikki descended 20.4 meters from the ocean surface. She then ascended 13.6 meters.
    6·1 answer
  • Which graph would help you find the solutions of 2 – x2 = –x?<br>PLEASE I NEED HELP WITH THIS ASAP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!