Find the remainder when p(x)= x^5 + x^4 + x^3 + x^2 + 2x + 2 is divided by q(x) = x + 1

Answers

Answer 1

Answer:

0

Step-by-step explanation:

Given a polynomial p(x) divided by (x + h), then the remainder is

p(- h)

Here divisor is (x + 1), so evaluate p(- 1) for remainder

p(- 1) = [tex](-1)^{5}[/tex] + [tex](-1)^{4}[/tex] + (- 1)³ + (- 1)² + 2(- 1) + 2

        = - 1 + 1 - 1 + 1 - 2 + 2

        = 0

This means that (x + 1) is a factor of p(x)


Related Questions

What is the percent increase when 7,200 increases by 1,800? help asap

Answers

Answer:

1,800/7,200 as a percentage is 1/4 which is 25%.

Answer: 25%.

Step-by-step explanation:

because 1,800/7,200 as a simplyfly fraction

will be 1/4 and if you make it in persant it will be 25%

Hope this helps :)

Rearrange the equation to solve for x 3kx+2kx=10.

Answers

Answer:

[tex]kx-2=0[/tex]

Step-by-step explanation:

We are given that  an equation

[tex]3kx+2kx=10[/tex]

We have to find the  value of x by rearrange the equation

Subtract 10 on both sides then we get

[tex]3kx+2kx-10=0[/tex]

Now, combine like terms

[tex]5kx-10=0[/tex]

Now, taking common factor

[tex]5(kx-2)=0[/tex]

[tex]5\neq 0[/tex]

Therefore,

[tex]kx-2=0[/tex]

This is required equation to solve for x.

What is plank's constant

Answers

I don’t know the answer from my head but watch stranger things season three episode eight. If you haven’t seen it already

Answer:

6.626068 × 10-34 m2 kg / s

Step-by-step explanation:

The Planck constant, or Planck's constant, denoted h is a physical constant that is the quantum of electromagnetic action, which relates the energy carried by a photon to its frequency. A photon's energy is equal to its frequency multiplied by the Planck constant. The Planck constant is of fundamental importance in quantum mechanics, and in metrology it is the basis for the definition of the kilogram.

Evaluate this expression for a = 3 and b = 4.
(a +4)-
3(8 + 2)

Answers

Answer:

-24

Step-by-step explanation:

its been a while but I believe this is correct

A handyman is tiling a bathroom l. He needs 34 rows of 18 tiles to cover the floor. How many total tiles does he need to cover the floor

Answers

Answer:

A handyman need 34 rows of 18 tiles.

How many total tiles does he need?

lets start off by saying that each row has 18 tiles

and there are supposed to be 34 rows

so you can multiply the number of tiles in each row (18) by the number of rows (34)

34 x 18 = 612

the handyman needs a total of 612 tiles to cover the floor.

plz hit the thx button and plz mark me brainliest if this helped :)

Can anyone help me !!!

Answers

Answer:

Yes the equation is a linear one because it is an equation for a straight line.

Step-by-step explanation:

Answer:

Yes. Read below for explanation.

Step-by-step explanation:

y=3x+1 is in-fact linear. It is not a function though as it's y-intercept is 1 not 0. If you graphed this on a graphing calculator such as Desmos, it would create a line. It also uses slope-point formula which definitely makes it a line.

the quotient of two numbers is negative what must be true about the two numbers​

Answers

Answer:

that one of the numbers is negative and one is positive

Step-by-step explanation:

hope this helps

correct me if this is wrong

Answer:

One of them is negative and the other is positive.

Step-by-step explanation:

Find the value of c that completes the square. x'2+42x+C

Answers

Answer:

441

Step-by-step explanation:

x^2 + 42x + c

Take the coefficient of x

42

Divide by 2

42/2 = 21

Square it

21^2 =441

This is the value of c

HELPPP WHAT ARE THE MISSING MEASURES

Answers

Answer:

goggle the following? ,'##$^%&'''!

tienes tres cajas. Cada una de ellas tiene una información. Caja 1:El oro esrá aquí,Caja 2: El oro no está aquí, Caja 3: El oro está en oa segunda caja. Solo una de las frases es verdadera. ¿Puedes asegurarme donde está el oro? ¿ Puedes asegurarme dónde no está el oro?

Answers

Answer:

el oro no está en la caja 1 ya que la aseveración es falsa, tampoco está en la 2 ya que la aseveración es verdadera por lo tanto está en la caja 3 cuya aseveración también es falsa.

creo que calza la respuesta, pero es diferente a la del solucionario. favor corrígeme si me equivoco.

The steps for solving the equation 2x-3=7 are listed below

Answers

Answer:

2x-3=7

2x=10

x=5

Answer:

x=5

Step-by-step explanation:

To solve this equation, we need to find out what the variable, x, is equal to. In order to do this, we need to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind that everything must be done to both sides.

2x-3=7

3 is being subtracted from 2x. The opposite of subtraction is addition. Add 3 to both sides

2x-3+3=7+3

2x=7+3

2x=10

x is being multiplied by 2. The opposite of multiplication is division . Divide both sides by 2.

2x/2=10/2

x=10/2

x=5

Find the area of CAT , given the following information:

Side c = 12 inches
Side t = 13 inches
Side a = 17 inches
Angle A = 75 degrees

Answers

42 Inches According to the how many inches are on the sides of CAT

compare: 8/12 to 6/9 which one is greater

Answers

Answer:

None they are both equal

Step-by-step explanation:

You find the common denominator which is 108

8/12 equals to 72/108

6/9 equals to 72/108

Answer:

Step-by-step explanation:

They are equivalent

Evaluate. Thank you!

Answers

Answer:

Step-by-step explanation:

-2 4/12  - 3 9/12 - 4

-5 13/12 - 4

-6 1/12 - 4

= -10 1/12

solution is d

What is the surface area of a cylinder with base radius 3 and height 6?
Either enter an exact answer in terms of 7 or use 3.14 for at and enter your answer as a decimal.
3
6
square units

Answers

Answer:

Your correct answer is 169.65 square units.

Step-by-step explanation:

Since the radius of the cylinder is 3, and the height of it is 6, you get a total of 169.65 square units.

Here is proof that I am correct:

Answer:

54 pi

Step-by-step explanation:

khan

The seventh grade wants to break last year's record of 78 coats collected for the annual clothing drive. They have already collected 13 coats. Part A Write and solve an inequality to represent the number of coats, c, that the seventh grade must still collect. Part B Graph the solution on a number line.

Answers

Answer:

78=c-13

c=65

____________________

13                        65           78

Part A-  An inequality to represent the number of coats collected by seventh grade students is, c,    C > 65

Part B- The graph of the solution on a number line, i have attached image below.

What are inequalities?

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities,   '>' , '<',  '≥',  '≤'

Given Information,

    The seventh grade wants to break last year's record of 78 coats collected,

    They have already collected 13 coats,

A.   They need 65 more clothes to reach at the record of 78 clothes,

     If they wants to break the last year's record they should collect more  than 65 clothes,

So, the inequality is,   C≥65

B. Graph on a number is attached in image.

Hence, the number coat must be greater than 65

To know more about inequalities check:

https://brainly.com/question/28823603

#SPJ2

PLease answer this question !! 20 points and brainliest !!

Answers

Answer:

[tex]26cm[/tex]

Answer D is correct

Step-by-step explanation:

[tex]l = \sqrt{ {r}^{2} + {h}^{2} } \\ = \sqrt{{10}^{2} + {24}^{2} } \\ = 26 \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: bjehdfgufgudhj

Step-by-step explanation:

a line with the slope of -1 passes through the point 0, 3 what is the equation in slope intercept form​

Answers

Answer:

y = -x + 3

Step-by-step explanation:

Slope intercept form is the form y = mx+b where m is the slope and b is the y intercept

Plugging in the values we get y=-x+3

Answer:

y = - x + 3

Step-by-step explanation:

y = mx + b

Slope m = -1.

y = - x + b

Point (0,3).

3 = 0 + b

b = 3

y = - x + 3

Carter is handing out Valentine’s Day cards to his friends. He has 8 Batman cards, 12 Superman cards, and 5 captain America cards in a bag. What is the probability that the first two he chooses are Batman?

Answers

Answer:

7/75

Step-by-step explanation:

8 Batman cards, 12 Superman cards, and 5 captain America =25 cards

P( batman) = 8/25

no replacement since he hands them out

7 Batman cards, 12 Superman cards, and 5 captain America =24 cards

P( batman) = 7/24

P(batman, no replacement, batman) = 8/25 * 7/24 = 7/75

Solve this equation (2/3)^2​

Answers

Answer:

4/9

Step-by-step explanation:

(2/3)²

Distribute the square to the numerator and denominator.

2²/3²

Square the numerator and denominator.

4/9

The answer is 4/9.

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

Firstly, This is not an equation. This is an expression!

Now, The solving:

=> [tex](\frac{2}{3})^2[/tex]

=> [tex]\frac{(2)^2}{(3)^2}[/tex]

=> [tex]\frac{4}{9}[/tex]

This is the Answer!

Hope it helps!

Don't hesitate asking anything regarding this!

Someone please help I suck at algebra
If a = 2 and c = -6
What would ac equal?
(I don’t know what to do if two letters are together)

Answers

Answer:

ac equals -12

Step-by-step explanation:

When 2 or more letters are put together, you need to multiply them.

ac=

a×c=

2×(-6)=

-12

ac= -12

Answer:

-12

Step-by-step explanation:

a = 2 and c = -6

ac= a*c = 2*(-6)= -12

Select the correct answer. In the given figure, m = 118°, m = 76°, and m∠BAC = 35°. Which statement is true? Figure not drawn to scale A. The measure of is 48°, and triangle BCD is isosceles. B. The measure of is 83°, and triangle BCD is isosceles. C. The measure of is 48°, and triangle BCD is not isosceles. D. The measure of is 83°, and triangle BCD is not isosceles.

Answers

Answer:

A

Step-by-step explanation:

The measure of the angle is 48 degrees and the triangle BCD is isosceles.

What is a Circle?

A circle is a round-shaped figure with all the points on one plane, the distance between the center and all the points on the circumference is the same.

Thre arc mBC inscribes angle BDC

According to the theorem, the angle made by the arc on the center is double that made at the circumference.

mBDC = (1/2) * mBC

mBDC = (1/2) * 118 = 59°

It is also known from the secant theorem that, the angle made by the two secants is equal to half of the angle inscribing the arc.

mA = (1/2) * (mBC - mDE)

35 = (1/2) * (118 - mDE)

70 = 118 - mDE

The measure of DE = 48°

The sum of all the arcs in a circle is 360°

So,

mBC + mCD + mDE + mBE = 360

mCD = 360 - 118 - 48 - 76 = 118°

The angle CBD is inscribed by the arc mCD

mCBD = (1/2) * mCD = (1/2) * 118 = 59°

The angles CBD and BDC are equal, so the triangle is isosceles.

To know more about Circle

https://brainly.com/question/11833983

#SPJ2

Brainliest question please help me please show your work

Answers

Answer: C) Outside the circle

Step-by-step explanation: Ok, so we know 0,0 is the center of the circle and 5,8 is on the circle, on the border. Therefore, anything more than 5,8 is outside the circle and anything less is inside the circle.

[tex]\sqrt{-15}[/tex] = -3.87

[tex]\sqrt{-74}[/tex] = -8.60

(-3.87, -8.60)

Therefore, the answer is outside the circle...pretend the rectangle is a circle...as you can see point Z will be outside the circle.

I hope this helps!

Answer: A-Inside the Circle

Step-by-step explanation: For point Z: the coordinate is (-3.9,8.6) rounded to the nearest whole and since the center of the circle is at (0,0) and a point on the circle is (5,8) then we know that every other point will be the same distance away from the circle. If (5,8) is a point on the circle then (-5,8), (-5,-8), and (5,-8) will also be points. If you plot all of these and draw a circle outline you will see that point Z falls in the circle. (I MIGHT BE WRONG but I hope this helps a little)

answer this for brainliest

Answers

Answer:

44

Step-by-step explanation:

Answer:

43.98229715

Step-by-step explanation:

the formula to work out the circumference is 2πr

the diameter is given (14cm)

the radius is half the diameter so its (7cm)

2π x 7 = 43.98229715

if you are going to round this, it will go up to 44

Please help me idk this

Answers

The area of the figure is 84

Answer:84

Step-by-step explanation:

Reggie lost three spaceships in level 3 of a video game he lost 30 points for each spaceship when he completed level three heat earned a bonus of 200 points by how much did his score change.

Answers

Answer:

His score change was 110

Step-by-step explanation:

Lets say he started at 0 points and lost 30 points for each spaceship thats 3 x 30 which is 90 so he's sitting at -90 points then got 200 so thats -90 + 200 = 110

If x is 6, then 7x = _____.

Answers

Answer:

42

Step-by-step explanation:

7x = ? if x equals 6

So 7 x 6 = 42

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:42

Step-by-step explanation:

6= X

so then 7X=

7×6=42

Point A is at (-8, 5) and point M is at (-1.5, 1). If M is the midpoint of line segment AB, what are the coordinates of point B?

Answers

Answer:

(5,-3)

Step-by-step explanation:

If point A is 6.5 on the x axis away from point M, then point B must be the same distance away. -1.5+6.5=5. If point A is 4 on the y axis away from point M then point B must also be the same distance away. 1-4=-3.

So the answer must be (5,-3)

You have purchased 5 lottery tickets (each with different numbers) for tonight’s Pick 4. In the Pick 4, one ball (numbered 0 – 9) is drawn from each of four cylinders. What are your odds of winning?

Please help

Answers

Answer: 0.05%

Step-by-step explanation:

Ok, you have 5 tickets with different combinations of 4 numbers of them.

Now, the total number of combinations of 4 numbers (0 to 9) can be found as:

For the first number we have 10 options.

For the second number we also have 10 options.

for the third number we also have 10 options

for the fourth number we also have 10 options.

The total number of combinations is equal to the product of the number of options for each selection, this is:

Combinations = 10*10*10*10 = 100*100 = 10,000.

So out of 10,000 possible combinations, you have 5.

Then the odds of winning is the quotient between the combinations that you have and the total number of combinations: p = 5/10,000 = 0.0005

In percentage form, this is: 0.0005*100% = 0.05%

Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.

O A. (x + 4)(x-4)
O B. x(x - 4)
O C. (x-4)(x-4)
OD. x(x+4)

Answers

The answer should be D
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