Part A: One of the factors of the polynomial function p(x)=2x^4+3x^3−x is (2x−1).
Write p as the product of (2x−1) and another polynomial.

Part B: What are the solutions to the equation p(x)=0? Enter the solutions from least to greatest.

Answers

Answer 1

Answer:

Step-by-step explanation: 2x+6

Answer 2

Another factor will be x and ( x + 1 )² and the solution will be -1, 0, and 1/2.

What is expansion?

In mathematics, every real-world issue may be transformed into an equation, sometimes in the form of a factor, which must then be expanded to get a solution.

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

Given,

p(x)=2x⁴ + 3x³ −x one factor is (2x−1)

To find another factor we divide p(x)=2x⁴ + 3x³ −x by (2x−1)

Then we got remainder as 0 and quotient ( x³ + 2x + 1 )

So,

(2x−1) ( x³ + 2x² + x ) = 0

(2x−1) (x) ( x² + 2x + 1) = 0

(2x−1) (x) (x + 1)² = 0

Now the solution to this

(2x−1) = 0 ⇒ x = 1/2

(2x−1) (x) ( x² + 2x + 1) = 0 ⇒ x = 0

And

(x + 1)² = 0 ⇒ x = -1

Hence, another factor will be x and ( x + 1 )² and the solution will be -1, 0, and 1/2.

For more information about the expansion

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Related Questions

What is the equation that can be used to find a percent of a number?

Answers

Answer:

Percent · Base = Amount.

Step-by-step explanation:

Use n for the unknown (percent).

Divide to undo the multiplication of n times 72.

Move the decimal point two places to the right to write the decimal as a percent.

Hope this helps!(:

Answer:

part = percent • whole

Step-by-step explanation:

Please help I don’t understand this problem!

Answers

the second one √72= 8.48 and the square root of √83=9.11 pi^2 = 9.86

when you put this in order by the decimal you get

8.48, 8.7, 9.11, 9.25, 9.86 which is really √72, 8.7, √83, 9.25, pi^2

Find the value of y and find m∠C and m∠D in the triangle given below.

y =

m∠C =

m∠D

Answers

Answer:

Step-by-step explanation:

Rachel is building a fence around her yard. She wants to create a square area that will have an area of 150 m. If the fencing has been cut into 1m lengths, how much fencing will Rachel need?

Answers

Answer:

Rachel will need 49 meters of fencing.

Step-by-step explanation:

From Geometry we know that area of the square ([tex]A[/tex]), measured in square meters, is represented by the following formula:

[tex]A = l^{2}[/tex] (Eq. 1)

Where [tex]l[/tex] is the side length of the square, measured in meters.

The length of the square is now cleared:

[tex]l = \sqrt{A}[/tex]

If we know that [tex]A = 150\,m^{2}[/tex], then the side length is:

[tex]l =\sqrt{150\,m^{2}}[/tex]

[tex]l \approx 12.247\,m[/tex]

The total amount of fencing is equal to the perimeter of the square ([tex]p[/tex]), measured in meters, that is:

[tex]p = 4\cdot l[/tex] (Eq. 2)

If we know that [tex]l = 12.247\,m[/tex], then the perimeter of the square is:

[tex]p = 4\cdot (12.247\,m)[/tex]

[tex]p = 48.988\,m[/tex]

As fencing is cut into 1-m lengths, we need to round this number up to the nearest integer. That is:

[tex]p = 49\,m[/tex]

Rachel will need 49 meters of fencing.

Solve for y.
2y2- 15y + 13 = 0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If
there are multiple solutions, separate them with commas.
Submit

Answers

Step-by-step explanation:

use sum and product method

Which expression is equivalent to 5(4x + 3)

Answers

Hey there!


5(4x + 3)


DISTRIBUTE 5 WITHIN the PARENTHESES

= 5(4x) + 5(3)


WEIRD WAY TO SIMPLIFYING MULTIPLICATION

= 5x + 5x + 5x + 5x + 5 + 5 + 5

= 10x + 10x + 10 + 5

= 20x + 15


Therefore, your answer is: 20x + 15


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Factoring
16x^5+20x^4-12x^3+24x^2

Answers

Hope this helps This is easy

find the missing side length ( find ?)

Answers

Answer: 35

Step-by-step explanation:


[tex]24 + 42 - 5[/tex]
whats the answer.​

Answers

Answer:

61

Step-by-step explanation:

dumb questions

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61 that is the answer

87.125 is it rational or irrational? Explain how.

Answers

Answer:

87.125 is rational

Step-by-step explanation:

it is a rational number because it can be represented as a fraction

87.125 is a rational number

Daniel wants to buy Nike sneakers that cost $90.00 . he saved 25% of the money needed to purchase it . How much money does Daniel have ? ​

Answers

90-22.5=67.5

He has $67.5

Pls answer i will mark u brainlist

Answers

Hello!

75,000 - 10% of 75,000

= 75,000 -(10*75,000)/100

=  75,000 -7,5 => 67,500

67,500 - 10% of 67,500

= 67,500- ( 10*67,500)/100

=67,500 - 6,75 = 60,750

60,750 -10%  of 60,750

= 60,750-( 10*60,750)/100

= 60,750 - 6,075 => 54,675

Please help me ASAP!

Answers

Answer:

10

Step-by-step explanation:

2x+46+3x-6 = 90

5x + 40 = 90

5x = 50

x =10

The answer is 10 I think I’m right

Which statement describes the solution to this system of equations?

2x−4y=8
8x−16y=32
Select the statement that correctly describes the solution to this system of linear equations.
A
There is no solution.

B
There are infinitely many solutions.

C
There is exactly one solution at (8, –4).

D
There is exactly one solution at (2, –16).

Answers

B there is inf. many solutions:

2x-4y=8 is y = 1/2x - 2
8x-16y=32 is y = 1/2x - 2

Describe how matter exists in three common states - solids, liquids and gases. Describe each by a
set of distinguishing properties.

Answers

Matter is anything that takes up space and has mass. Liquid can evaporate but it doesn’t disappear. It’s particals are still there it has just turned into a gas, a solid is pretty self explanatory. It visibly takes up space and has mass

Which of the following are solutions to the equation below?
Check all that apply.
4x2 + 12x + 9 = 25
V5-3
O A. x=
16.
O B. x= -1

Answers

Answer:

see below

B.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 and -4

I need help with this question

Answers

Answer:

It's the second answer, hope this helps!

Number two because it states that the two triangles are overlapping and they are congruent. Also BC and DE are parallel which is also congruent.

20 points
Select the correct answer.
Solve the following equation by completing the square.



A.

B.

C.

D.

Answers

Answer:

x = 2 + sqrt(2) or x = 2 - sqrt(2) thus B. is your answer

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 - 16 x + 8 = 0

Hint: | Write the quadratic equation in standard form.

Divide both sides by 4:

x^2 - 4 x + 2 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 2 from both sides:

x^2 - 4 x = -2

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 4 to both sides:

x^2 - 4 x + 4 = 2

Hint: | Factor the left-hand side.

Write the left-hand side as a square:

(x - 2)^2 = 2

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

x - 2 = sqrt(2) or x - 2 = -sqrt(2)

Hint: | Look at the first equation: Solve for x.

Add 2 to both sides:

x = 2 + sqrt(2) or x - 2 = -sqrt(2)

Hint: | Look at the second equation: Solve for x.

Add 2 to both sides:

Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)

Answer:

B

Step-by-step explanation:

Sameera predicted that she would sell 38 blankets, but she actually sold 28 blankets. Which expression would find the percent error? Use the table below to help answer the question.
Percent Error

Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Blankets
38
28
10
10


StartFraction 10 over 38 EndFraction (100)
StartFraction 10 over 28 EndFraction
StartFraction 10 over 28 EndFraction (100)
StartFraction 10 over 38 EndFraction

Answers

Answer:

i think it would be percent error  

she was off by 35.7143%

a

Step-by-step explanation:

hope this helps if im correct please can i have brainly

Prove that the difference between a two-digit number and the product of its digits will always be a 2 digit number.

Answers

Solution:

Let's take the greatest two-digit number as an example.

=> 99

Proving...

99 - (9 x 9) = Two-digit number=> 99 - 81 = Two-digit number=> 18 = Two-digit number

Since the difference between the greatest two-digit number and the product of its digits is a two-digit number, the difference between the other two-digit numbers '10, 11, 12.... 97, 98' and the product of its digits will always be a two-digit number, as the product of its digit is less than the two-digit number.

Hence proved. ✔✔

Step-by-step explanation:

Let the two-digit number is [tex]xy[/tex]

This can be written as:

10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9

The difference between the number and product of its digits is:

d = 10x + y - xy

Rewrite this as below:

d = 10x - xy + y - 10 + 10 =

     x(10 - y) - (10 - y) + 10 =

     (x - 1)(10 - y) + 10

We see that:

0 ≤ x - 1 ≤ 8 according to the condition given above1 ≤ 10 - y ≤ 10 again according to the condition given above

The value of d is then:

0 + 10 ≤ d ≤ 8*10 + 1010 ≤ d ≤ 90Proved

please help 8th grade math giving brainlist

Answers

Answer:

Hope this helps! Try using the desmos graphing calculator. It is good for those problems.

Step-by-step explanation:

A square and an equilateral triangle have the same perimeter. Each side of the triangle is 3 inches longer than each side of the square. What is the perimeter of the square?
ASAP I ONLY HAVE 15 MINUTES

Answers

Answer:

36 inches

Step-by-step explanation:

Q = length of the sqaure

T = length of the triangle

Equation 1:  4Q = 3T  

Equation 2:    T = 3+Q;

Then, subsitute T=3+Q into equation 1:

4Q =  3(3+Q)

4Q = 9 + 3Q

Q = 9

-----

Each side of the square is 9 inches, so the perimeter will be 9X4 = 36inches

Um monumento na cidade de São Paulo, foi construído seguindo a forma de um tronco de pirâmide de bases quadradas. Seu volume é de 21000 m³ e sua altura é de 30 m. Sabendo que sua base maior tem aresta medindo 40 m, calcule a medida da aresta da sua base menor.

Answers

Responda:

15cm

Explicação passo a passo:

Volume de uma pirâmide = Área da Base × Altura / 3

Dado

Volume = 2100m³

Altura da pirâmide = 30m

Vamos obter a área base primeiro, substituindo o valor dado na fórmula.

2100 = B (30) / 3

2100 = 30B / 3

2100 = 10B

10B = 2100

Divida os dois lados por 10

10B / 10 = 2100/10

B = 210cm²

Como a base é um quadrado

área da base quadrada = 210cm²

L² = 210

L = √210

L = 14,49cm

C ≈ 15cm

Portanto, a medida da borda de sua menor base é de aproximadamente 15 cm

please help me fast !!!!!

Answers

Answer:

2nd option

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

121.8° is an exterior angle of the lower triangle , then

∠ 2 + 17.3° = 121.8° ( subtract 17.3° from both sides )

∠ 2 = 104.5°

------------------------------------

∠ 2 is an exterior angle of the upper triangle , then

∠ 1 + 37.1° = 104.5° ( subtract 37.1° from both sides )

∠ 1 = 67.4°

Enola has a toy car collection. She keeps some in a display case and the rest on the wall. 155 of her toy cars are on the wall, and 69% of her toy cars are in the display case. What is the total number of toy cars in Enola's collection?

Answers

Give me brainliest if right: 106.95

The total number of toy cars in Enola's collection is 500 if 155 of her toy cars are on the wall, and 69% of her toy cars are in the display case.  

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

She keeps some in a display case and the rest on the wall. 155 of her toy cars are on the wall, and 69% of her toy cars are in the display case.

Let x be the total number of toy cars in Enola's collection:

69% of x = x - 155

0.69x = x - 155

0.31x = 155

x = 500

Thus, the total number of toy cars in Enola's collection is 500 if 155 of her toy cars are on the wall, and 69% of her toy cars are in the display case.

Learn more about the percentage here:

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Solve for missing angle

Answers

Hello!! Your answer would be 55''. If the other side is the same length, the this side is 55'' too.

Hope this helps!

Answer:

135!!!

Step-by-step explanation:

Please help..... TvT

Answers

Answer:

1/3 -- 33.3%

37/100 -- 0.37

1/4 -- 25%

19/50 -- 30%

3/20 -- 15%

Step-by-step explanation:

A flag is 152 centimeters long.

How long would the flag measure in meters?

Enter your answer in the box.

Answers

Divide centimeters by 100. Answer is 1.52 meters.

The length of the flag measure in meters is,

⇒ 1.52 meters

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that;

A flag is 152 centimeters long.

Now,

We know that;

1 centimeters = 1/100 meters

Hence, We get;

The length of the flag measure in meters is,

⇒ 152 centimeters

⇒ 152/100 meters

⇒ 1.52 meters

Thus, The length of the flag measure in meters is,

⇒ 1.52 meters

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1
1
15. Ratan bought 2 - m of iron wire and 3.
4
3
of copper wire.
a) What is the total length of wires he
bought?
b) How much more copper wire than
iron wire did he buy?

Answers

can u send me the question once more correctly so that I can help u

My username is Ayaan707.

^_^

Answer:

Total length of wire bought = 2 1/4 + 3 1/3

=9/4 + 10/3

=9*3/4*3 + 10*4/3*4 (LCM)

= 27/12 + 40/12

=67/12= 5 7/12metre is the answer

Ayaan707 avatar

difference btw copper and iron wire = 40/12 - 27/12

=13/12= 1 1/12 metre of copper wire

Step-by-step explanation:

HOPE IT HELPS , JENNY

+2+1+6 this is confusing what is the answer and explanation

Answers

Answer:

9

Step-by-step explanation:

hi I'm pretty sure this is really wrong but just kinda guessing

+2 is just a positive 2 so it's just known as 2

2+1+6 = 9

Answer: 9

Step-by-step explanation:because if its 2+1+6 then u get 2 and 6 add thats 8 then your 1 and its 9.

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