Find the remainder when the polynomial x3+x2-2x+1 is divided by(x+1)

Answers

Answer 1

Answer:

Remainder = 3

Step-by-step explanation:

Given

[tex]P = x^3 + x^2 - 2x + 1[/tex]

[tex]D =x + 1[/tex]

Required

Determine the remainder

[tex]D =x + 1[/tex]

Equate to 0

[tex]x + 1 = 0[/tex]

[tex]x = -1[/tex]

Substitute -1 for x in [tex]P = x^3 + x^2 - 2x + 1[/tex]

[tex]P = (-1)^3 + (-1)^2 - 2(-1) + 1[/tex]

[tex]P = -1 + 1 + 2 + 1[/tex]

[tex]P = 3[/tex]

Hence, the remainder is 3


Related Questions

What is the standard form of the equation 9(g-5h)

Answers

9g-45h, you have to distribute 9

For problems 4-9 find the circumference.

Answers

4. 78.54
5. 28.27
6. 175.93
7. 59.69
8. 18.85
9. 219.91

An airplane is flying from Redville to leek.The airplane flies 50 miles East and then 180 miles South .how far is leek from Redville directly

Answers

Answer:

230

Step-by-step explanation:

A local yoga studio
charges a sign-up fee of
$55, plus $10 per class. A
second yoga studio
charges a sign-up fee of
$25 plus $12.50 per class.

A. Griffin
B. Gigi

Answers

Answer:

Let's call the first studio, yoga studio A.

Let's call the second studio, yoga studio B.

The equations:

Yoga Studio A: y=10x+55

Yoga Studio B: y=12.5x+25

So, for 12 classes:

Yoga Studio A: y=10(12)+55, y=175

Yoga Studio B: y=12.5(12)+25, y=175

These two numbers are equal, so Griffin is right.

For 10 classes:

Yoga Studio A: y=10(10)+55, y=155

Yoga Studio B: y=12.5(10)+25, y=150.

These two numbers are not equal, so Gigi is wrong.

Let me know if this helps!

there are 12 boys than girls in a class of 60 find the number of boys and girls​

Answers

Answer:

boys : 36

girls : 24

Step-by-step explanation:

60 - 12 = 48

48 ÷ 2 = 24 (girls)

24 + 12 = 36 (boys)

oscar paid $130 for 4 tickets to the amusement park. Each ticket cost the same amount. What is the cost in dollars and cents per ticket

Please help.

Answers

$32.05?




Explanation:
130 divided by 4, not sure if then is correct. Just a guess. Sorry if it doesn’t help.

Answer:

32.5 each ticket cost

Step-by-step explanation:

130÷4=32.5

15 POINTS :)

Solve the inequality.
-3x+4<25

Answers

Answer:

x > -7

Step-by-step explanation:

-3x + 4 < 25

-3x + 4 - 4 < 25 - 4

-3x < 21

-3x/-3 < 21/-3

x > -7

May i have brainliest? :)

giving brainliest and 20 points! please solve this. :D

Answers

Answer:

1.) 7x+5y

2.)-19m+14r

3.)22b+40c

4.)10x+25

5.)7m+7

Step-by-step explanation:

ez

George, Arianna, and Carlos are going to mow the baseball field with push
mowers. By themselves, George can mow the field in 5 hours, Arianna
can mow the field in 6 hours, and Carlos can mow the field in 3 hours. If
the game is in 2 hours, can they get the field mowed in time?

Answers

Answer: Yes, they will have it mowed in 1 hour and 18 minutes

Step-by-step explanation:

Write a two-step inequality that could be represented by the number line.​

Answers

Answer:

0

Step-by-step explanation:

The probability of choosing a green sweet at random from the bag is 1/12.
Please see the picture, I need to answer that question.

Answers

Answer:

2 times became that's correct

The probability of choosing yellow is 5/12

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=7900(1.05)^x

Answers

Answer:

5% increase

Step-by-step explanation:

Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation : 4x - 5y = 4
Equation il: 2x + 3y = 2
A Elimination, a coefficient in Equation 1 is an integer multiple of a coefficient in Equation II.
B. Elimination, a coefficient in Equation II is an integer multiple of a coefficient in Equation I.
C. Substitution, Equation I can be solved for x in one step by dividing both sides by 4.
D. Substitution, Equation Il can be solved for x in one step by subtracting 3y from both sides.

Answers

Answer:

A . Elimination, a coefficient in Equation 1 is an integer multiple of a coefficient in Equation II.

hope it is helpful...

diagram this statement.Then answer the questions that follow.

Joseph gave three fourths of his 288 sports cards to his brother.

A) what percent of his sports cards did his Joseph give to his brother?

B)How manny sports cards did Joseph have left?

Answers

75%=3/4 for a
77 for b

Tanisha jogs about 8 miles in 2 hours. How long will it take her to jog ​12 miles?

Answers

Answer:

its will take 3 hours

Math Question for 50 points please help

Answers

Answer:

B

Step-by-step explanation:

Your answer is B.

⚠︎ I HOPE YOU ARE DOING WELL ☻︎

HAVE A FANTASTIC DAY ꨄ︎

Answer:

The answer is B

Step-by-step explanation:

Its different from all the others

Please help ASAP. Thanks so much

Answers

Answer:

The answer is 0.

Step-by-step explanation:

You are right because the -4 and 4 would be an x - intercept but it's not there on the answer choice. So, go with A. 0 Another explainationor this is (0,9) is the vertex, and the x intercept lies on 0.

show work on this problem

Answers

Answer:

[tex]-3+\sqrt{5}[/tex]

Step-by-step explanation:

Simplify:

[tex]\frac{-9+3\sqrt{5} }{3}[/tex]

Factor out 3:

[tex]\frac{3(-3+\sqrt{5}) }{3}[/tex]

Reduce the fraction by crossing out the 3's:

[tex]-3+\sqrt{5}[/tex]

Is Andrew correct or incorrect explain

Answers

Andrew is incorrect

because 2^28 = 268,435,456

follow me

Answer:

Andrew is incorrect.

Step-by-step explanation:

He is incorrect because instead of multiplying 2 x 28, he should have did 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2, which is 268,435,456.

I tm pretty sure this is correct, please comment if it is right or wrong

Convert Decimal to Percent
0.89 =
0.54 =
0.76 =
0.33 =
0.53 =
0.12 =

Answers

Answer:

0.89 = 89

0.54 = 54

0.76 = 76

0.33 = 33

0 . 53 = 53

.0.12 = 12

is 2/6 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

good luck, i hope this helps :)

I think it’s rational because irrational can be written as a decimal, but NOT as a fraction

Need help on this please any one

Answers

Answer:

[tex] \sqrt{29} [/tex]

To the nearest 10th, find the measure of the missing side.

Answers

Answer:

Climate change includes both global warming driven by human emissions of greenhouse gases, and the resulting large-scale shifts in weather patterns.

I’ll mark u as brainliest

Answers

Answer:

8,20,32

Step-by-step explanation:

8

20

32

You would do 2 x 4 and so on

Answer:

8,20,32

Step-by-step explanation:

multiply 4 times each number in the x section

What is the surface area of this wedge.?

Answers

Answer:

the surface area of the wedge is 360ft²

Step-by-step explanation:

6x5x3x4 = 360ft²

3x^3-5x^2-5x-1=0
Zero of polynomials​

Answers

Answer:

Step-by-step explanation:

Wuh

A discount of 10 percent was given. If a further discount of 10percent was given in the reduced price, calculate the total single discount given in the marked price .​

Answers

Answer:

let marked price = x

on 10% discount, price= x-10%of x

=x-(10x/100)

=x-(x/10)

=9x/10

on further 10% discount, total discount = 10% of 9x/10

=10/100 * 9x/10

= 9x/100

= 9%of x

hence, the single discount given on marked price is 9%

Step-by-step explanation:

The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000 automobile. What is the value of the car at the end of the second year?$14,080$17,600$19,800$26,400

Answers

Answer:

$14,080

Step-by Step Explanation:

Answer:

$14,080

Step-by-step explanation:

Hope this helps.

Write 2 different word phrases for the expression (52 + 8) divided 30

Answers

Answer:

fifty two plus eight divided by thirty

eight plus fifty two divided by thirty

Step-by-step explanation:

I just switched them around.

Answer:

1) Thirty divided by (fifty-two plus eight)

2) (52+8)

      30

Step-by-step explanation:

10 POINTS
please help lol

Answers

Answer:

Explanation below:

Step-by-step explanation:

To solve this problem you have to look at the three measurements (base x length x height), which are 7in, 3in, and 5in. For the top of the rectangular prism, the surface area is 21in (7in x 3in) and since the bottom is the same, the bottom is also 21in. Now that you have the top and bottom, let's look at the sides. The surface area for the long-sides is 35in (7in x 5in) and since both sides are the same, they are both 35. The surface area for the ends of the rectangular prism is 15in (5in x 3in) and since they are both the same, they are both 15in. Now that you have figured out what measurement goes with what, add all them up. (21in +21in) = 42in | (35in +35in) = 70in | (15in + 15in) = 30in

                                             42in + (70in + 30in)

                                                   42in + 100in

                    The surface area for the entire shape is 142 inches.

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