is (x-4) a factor of 2x^4-9x^3-20x^2+147x-180? find out by using the factor theorem.

Answers

Answer 1

Answer: (x-4) is not a factor of the given polynomial.

===================================================

Explanation:

Rule: If (x-k) is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem. We can take this in reverse to say that if p(k) = 0, then (x-k) must be a factor of p(x).

In this case, we have k = 4 and we can find that:

p(x) = 2x^4-9x^3-20x^2+147x-180

p(4) = 2(4)^4-9(4)^3-20(4)^2+147(4)-180

p(4) = 24

The result we get is not zero, so that means (x-4) is not a factor of p(x).


Related Questions

HELP ME ILL GIVE BRAINLIEST
Which of the following factors can affect the strength of electric or magnetic fields? (YOU MAY SELECT MORE THAN ONE ANSWER)

Strength of the magnet/electric charge


The material that is creating the field

The mass of the object creating the field


The distance from the source of the field

Answers

Answer:

It's strength of the magnet/electric charge and the distance from the soucre of the field

nine more than the quotient of 2 and a number of x

Answers

Answer: 9 + 2/x - x = -19

HELP! THE ANSWER IS NOT C!

Answers

Answer:

The answer is B

Step-by-step explanation:

if correct plz mark brainliest and tell me if its wrong

The square below represents one whole.
What percent is represented by the shaded area?
%

Answers

Answer:

70%

Step-by-step explanation:

Each blue line represents 10%.  Since there are 7 blue lines, we just multiply 10% by 7 and we get 70%

Answer:

70%

Step-by-step explanation:

7 out of 10 rectangles were filled so that's 7/10. 7/10 also equals 70/100. Therefore it's 70 out of 100 or 70%.

Which group contains triangles that are similar. im having a hard time

Answers

Answer:

1st group contains triangles that are similar

Step-by-step explanation:

since its opposite corresponding angle are equal.

Can you help me please here is the image

Answers

Answer:

its c

i think

Step-by-step explanation:

I’m not sure, maybe C
I hope you get it right :)
Have a good day

What is the area of the triangle below?



20 square units
15 square units
7.5 square units
30 square units

Answers

Answer:

7.5 square units

Step-by-step explanation:

Base of the triangle = 5 units

Height of the triangle = 3 units

Area of the triangle

[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 5 \times 3 \\ \\ = \frac{1}{2} \times 15 \\ \\ = 7.5 \: {units}^{2} [/tex]

Answer:

7.5

Step-by-step explanation:

Mary bought a bag for 1600 and sold it for 2000, find the profit %​

Answers

Answer:

125%

Step-by-step explanation:

We are being asked what percent of 1600 is 2000.

The answer is 125%

1600 × 125% = 2000

Answer:

Step-by-step explanation:

100(2000-1600)/1600

100(400)/1600

40000/1600=25%

21p+35q
please help me!​

Answers

Answer:

Simplifying

21p + 35q = 0

Solving

21p + 35q = 0

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-35q' to each side of the equation.

21p + 35q + -35q = 0 + -35q

Combine like terms: 35q + -35q = 0

21p + 0 = 0 + -35q

21p = 0 + -35q

Remove the zero:

21p = -35q

Divide each side by '21'.

p = -1.666666667q

Simplifying

p = -1.666666667q

Which graph represents an increasing function?
Graph A
Graph B
5
4
Z
012
Graph c
Graph D
7
6
5
6
5
4
1
4
3
2
1
1
O Graph A
O Graph B
O Graph C
O Graph D

Answers

Answer:

Graph B is correct answer of this question

hope it helps and your day will be full of happiness

At a bakery, a baker prepares 6 dozen blueberry muffins for every 5 dozen apple muffins. If the baker prepares 16 dozen blueberry muffins, how many dozen apple muffins will he prepare? Can you please explain how to do this.

Answers

Answer:13 apple muffins dozensStep-by-step explanation:I would write a proportion, I can't use a fraction bar so they will just be on top of each other: Blueberry Muffins    6 Apple Muffins          5 For every 6 Blueberry muffins there are 5 apple muffins (dozens) So when he makes 16 blueberry muffins (dozens) You write it next to the '6' because it's talking about blueberry muffin dozens. The proportion now: Blueberry Muffins  6   16 Apple Muffins        5    x To find x, or the number of apple muffin dozens, you multiply 16 * 5, which is 80. Then divide by 6. 80/6= 13.333 You can't have .333 of a dozen, so round it to 13. ***ANSWER***  He prepared 13 Apple muffin dozens. Hope this helped <3

47.Explain sound needs a medium for propagation​

Answers

Answer:

Sound needs a material medium for their propagation like solid, liquid or gas to travel because the molecules of solid, liquid and gases carry sound waves from one point to another. Sound cannot progress through the vacuum because the vacuum has no molecules which can vibrate and carry the sound waves.

Factories the following question ​

Answers

Answer:

[tex]k(3a-2b)[/tex]

Step-by-step explanation:

In the equation [tex]3ak-2bk[/tex], 'k' is the only common term.

Factor out 'k':

[tex]3ak-2bk\\\\\boxed{k(3a-2b)}[/tex]

Hope this helps.

SOMEONE PLEASE HELP EVEN IF ITS JUST WHAT YOU THINK PLEAE

Answers

Dang it looks confusing
Is that Geometry

Choose the circle with the greatest area​

Answers

Answer:

#3

Step-by-step explanation:

Simplify. Write the answer as a decimal.

Answers

Answer:

what are we simplifying

I need help please in my homework 100 point question

Answers

Answer:

5,000? what does it want me to find

Step-by-step explanation:

1
This quilt is made up of cloth pieces shaped like isosceles right triangles.
The hypotenuse of each triangle is 16 centimeters long. Find the area of one
cloth triangle. *choose one

32 square centimeters
16 square centimeters
42 square centimeters
64 square centimeters

Answers

Answer:

Its 64 cm

Step-by-step explanation:

HELP MEEE!!!
Use the drawing below to answer the questions that follow.

What is the scale factor going from smaller to larger?

(reference photo please)

Answers

Step-by-step explanation:

Part A: Let see what number we can multiply by 3 to get 13.5

[tex]3x = 13.5[/tex]

[tex]x = 4.5[/tex]

so our answer is 4.5

Part B : Set up the proportion

3 and 13.5 correspond with each other and the question mark side corresponds with the 9 cm side.

let x = the side we are trying to find

[tex] \frac{3}{x} = \frac{13.5}{9} [/tex]

Cross multiply

[tex]27 = 13.5x[/tex]

[tex]x = 2[/tex]

so our answer is 2.

Yup the person under me gave the corrrext answer I checked it’s what I got

By how much is 11/3 and 11/5 less than 7​

Answers

Answer:

Step-by-step explanation:

11/3 + (7 - 11/5)

LCM of 3 and 5 is 15 so we have

55/15 + (105/15 - 33/15)

= 160/15 - 33/15

= 127/15.

Seven students were surveyed on the number of pets in their house. The results are shown below:
2, 2, 2, 3, 4, 4, 11
What is the mean number of pets?

Answers

Answer:

the mean number of pets is 4.

Step-by-step explanation:

if you add all of the numbers together, you get 28. Then you divide 28 by the amount of students.

The answer is 4, sum of all numbers divided by number of terms is 28/7 and or 4.

What is the solution to the following system of equations?
3x + 2y = 30
y = x + 5

Answers

Answer:

D

Step-by-step explanation:

Answer:

I think this one is C

Step-by-step explanation:

It seems like its counting by 5's and the answer to the first equation

100 POINTS!!! Orthographic projection and isometric projection are two ways to show three-dimensional objects in a two-dimensional space, such as on a piece of paper or a computer screen. Each method gives a different perspective. Do some research and then compare and contrast the two methods for displaying three-dimensional shapes. Then try your hand at creating both types of projections for a simple geometric shape using paper, pencil, and a ruler.

In your opinion, what are the pros and cons of each projection? What are the limitations? In which circumstances, environments, or occupations is one type of projection likely preferred over the other? Describe any special tools that might be needed to create the projection. Which projection is easiest for you to interpret visually? Why?

Answers

Example 1:

The pros of Orthographic is that they can show hidden details and all of the connecting parts, they can be annotated to display material and finishes. The pros of Isometric projection is that they dont need many views and it gives accuracy, cons are is created a unorginized apperance by the lack of foreshortening, I would choose Isometric projection because it shows the size of the figure.

Example 2:

Orthographic projection is a good option for showing lots of detail and small things. The limitation is that with all of that detail, they can become quite messy and hard to understand to someone new to them. However, that is one of the pros of Isometric projection. It gives easy detail and is just as good as an Orthographic. Personally, I find Isometric projections easier to interpret.

Please someone help me i have been waiting for someone to help me

Answers

Answer: z=29 so Now: Cary is 38 years old while Dan is 29 years old.

In 5 years: Cary is 43 years old while Dan is 34 years old.

Step-by-step explanation: z=29 because 29+9=38 and 38+29=67 so 38+5=43 and 29+5=34.

plz mark me brainliest

How to Mark Brainliest: Look at the bottom right of an answer, there should be a crown, if there isn't reload the page if there still isn't look if there are 2 people who answered if yes reload the page again, if no wait for someone to answer then reload the page.

Solve the following inequalities and give the solutions in both set and interval notations.

-2x + 5 < -x + 25

Answers

4y + 3 > 23          subtract 3 from both sides

4y > 20                divide both sides by 4

y > 5

 

-2y > -2                divide both sides by -2 (the order changes)

y < 1

 

(-oo, 1) ∪ (5, oo)

Upvote

SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME

The university has decided that for the following year lecture costs will increase by 20% workshop costs by 10% and examination costs will stay the same .For level 2 the current hourly costs are 10,24,and 60 respectively. how much would the level 2 course cost in the following year​

Answers

Answer:

$98.4.

Step-by-step explanation:

Since the university has decided that for the following year lecture costs will increase by 20%, workshop costs by 10%, and examination costs will stay the same, and that for level 2 the current hourly costs are 10, 24, and 60 respectively To determine how much the level 2 course cost in the following year, the following calculation must be performed:

10 x 1.2 + 24 x 1.1 + 60 = X

12 + 26.4 + 60 = X

98.4 = X

Thus, the level 2 course will cost $ 98.4 next year.

Please help me with this question

Answers

Answer:

$13.50

Step-by-step explanation:

Answer:

m = 13.50$

Step-by-step explanation:

26.50 + m = 40

m = 40 - 26.50

m = 13.50$


How long will it take for an investment of $9000 to double at 4% Interest compounded continuously? Round to the nearest tenth of a year.

Answers

Someone else is answering the question. I hope they can help u

If = x+12
what is the value of *?
X
21

Answers

if 21 is the final answer to the equation then x would be 9

Answer:

9

Step-by-step explanation:

Solve for x. 8x+10-5x=15.

Answers

Answer:

=

5

3

Step-by-step explanation:

8

+

1

0

5

=

1

5

3

+

1

0

=

1

5

Answer:

x = 5 / 3 = 1.667

Step-by-step explanation:

8*x+10-5*x-(15)=0

Solve  :    3x-5 = 0

Add  5  to both sides of the equation :

                     3x = 5

Divide both sides of the equation by 3:

                    x = 5/3 = 1.667

x = 5/3 = 1.667

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