Given:The expression is[tex]2x^4+2x^3-x^2-x[/tex]The steps are given.To find:The mistake in her steps.Solution:We have,[tex]2x^4+2x^3-x^2-x[/tex]The correct steps are shown below.Step 1: Taking out x as common factor.[tex]=x(2x^3+2x^2-x-1)[/tex]Step 2: Now, taking out 2x as common factor from first two terms (first group of terms) and -1 form last two terms (second group of terms) in the parentheses.[tex]=x(2x^2(x+1)-1(x+1))[/tex]Step 3: Taking out (x+1) as common factor.[tex]=x(2x^2-1)(x+1)[/tex]She incorrectly factored -1 from the second group of terms.Therefore, the correct option is B.

Mathematics High School

Can I get some help

Answers

Answer 1

Given:

The expression is

[tex]2x^4+2x^3-x^2-x[/tex]

The steps are given.

To find:

The mistake in her steps.

Solution:

We have,

[tex]2x^4+2x^3-x^2-x[/tex]

The correct steps are shown below.

Step 1: Taking out x as common factor.

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

Step 2: Now, taking out 2x² as common factor from first two terms (first group of terms) and -1 form last two terms (second group of terms) in the parentheses.

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

Step 3: Taking out (x+1) as common factor.

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

She incorrectly factored -1 from the second group of terms.

Therefore, the correct option is B.

Related Questions

Cameron and Cadena go out to eat for lunch. If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill?

Answers

Answer:

22.59

Step-by-step explanation:

Answer: 24.53

22.50 x 9% = Unknown = ?

22.50 x 0.09 = 2.03

22.50 + 2.03 = 24.53

Answer/ Total Cost = 24.53

Step-by-step explanation: I Hope this helps you!

answer fast pls iiiiiiiiiiiijhgghjjhffgjjhhgfffgggfgggffffffffghh

Answers

I think the answer is D.
Hope this helps <3

A.
B.
C.
D. please help

Answers

Answer:

Step-by-step explanation:

-1 + -5 is -6.

4 of 4
The ratio of money in Brian's wallet to Colin's wallet one day was 7:2.
Brian spent £39 that day.
Brian now had £4 less than Colin.
How much did they initially have altogether?

Answers

Answer:

£30

Step-by-step explanation:

Let Brian initially had money in his wallet = £x

and Colin had the money = £y

Since ratio of money in Brian's wallet to Colin's wallet was 5 : 1

Therefore,

⇒ x = 5y -------(1)

Brian spent £27 that day, so money left with him = £(x - 27)

After spending the money Brian had £3 less than Colin.

(x - 27) = (y - 3)

x = y + 27 - 3

x = y + 24 -------(2)

Now we equate the equations (1) and (2) for the value of x,

5y = y + 24

5y - y = 24

4y = 24

y = £6

From equation (2),

x = 6 + 24

x = £30

Therefore, Brian initially had £30.

i hope this helps

What does X equal?

2x + 2 = 4x + 4

Answers

Answer:

x = -1

Step-by-step explanation:

Given

2x + 2 = 4x + 4 ( subtract 4x from both sides )

- 2x + 2 = 4 ( subtract 2 from both sides )

- 2x = 2 ( divide both sides by - 2 )

x = - 1

GIVE ME THE SAUCE CODE >:))))))))))))))))

Answers

So when you mean sauce you mean like entai ?

Answer:

38493

Step-by-step explanation:

a great F A P

What is divided by 5/8 divided by 1/4 ?
A) 2/5 B) 3/4 C) 1 1/4 D) 2 1/2

Answers

Answer:

D: 2 1/2

Step-by-step explanation:

Answer:

the correct answer is.

A. 2/5

Lin runs 12 laps around a track in 6 minutes. How many laps per minute is that? *

Answers

Step-by-step explanation:

6 min => Run 12 laps around the track

1 min => 12/6 = 2 laps around the track

Therefore Lin runs 2 laps per minute.

Answer:

2 laps per minute

Step-by-step explanation:

What we know:

Lin runs

12 laps

in 6 minutes

Laps per minute = [tex]\frac{Laps}{Minute} = \frac{12 laps}{6 minutes} = \frac{12}{6} = 2 \frac{laps}{minute}[/tex]

Find the volume of the rectangular prism.
The volume of the rectangular prism is

meters cubed. fill in the blank

Answers

Answer:

I think 8

Step-by-step explanation:

Btw love your pfp tell meh if it’s wrong I’ll try and fix it

Answer:

5/18 m

Step-by-step explanation:

You are going to multiply length x width x Height

5/6 x 1/2 x 2/3

5 Addition Problems that gives u 100

Answers

99+1
98+2
97+3
96+4
95+5
94+6

Good luck!!

Answer:

here you go

Step-by-step explanation:

50 + 50

75 + 25

60 + 40

90 + 10

80 + 20

64 + 36

18 + 82

70 + 30

45 + 55

Hope this helps!

I gave extra for learning purposes

I will give BRAINLIEST PLS HELP y = x + 1/2 and z = 2x - 3, which of the following is equivalent to y + yz?
A. 2x^2 - x - 1
B. 2x^2 - x - 2
C. 2x^2 - x - 1/2
D. 2x^2 - 2x - 3/2

Answers

Answer:

try B. 2x^2 - x - 2

Step-by-step explanation:\

Cant realy give step by step- i just know

The solution 2x² - x - 1 is equivalent to expression y + yz.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given expression as :

⇒ y + yz

y = x + 1/2 and

z = 2x - 3

Substitute the values of y and z in the expression y + yz,

⇒ x + 1/2 + (x + 1/2)(2x - 3)

⇒ x + 1/2 + x(2x - 3) + 1/2(2x - 3)

⇒ x + 1/2 + 2x² - 3x + x - 3/2

Rearrange the like wise term and apply the arithmetic operations,

⇒ 2x² - 3x + x + x + 1/2 - 3/2

⇒ 2x² - x - 1

Hence, the solution 2x² - x - 1 is equivalent to expression y + yz.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Where do I plot the dots at?

Answers

Answer:

at 5 and 5

Step-by-step explanation:

What slope is parallel to m=3/4

Answers

Answer:

c: 3/4

Step-by-step explanation:

When 2 slopes are parallel, they have the same slope. So anything parallel to m=3/4 is 3/4.

In the picture -4/3 is selected. That is perpendicular. To find something’s perpendicular slope u have to flip the fraction and change the sign.

what is the x-intercept of the line 5x-2y=10

a.5
b.0
c.2
d.-10

Answers

It’s five because of 5x

15 x sin(30)=?/15 x 15

Answers

Answer:

The exact value of

sin

(

)

sin(30) is

12.

⋅

15⋅12

Combine

15 and

12.

152

The result can be shown in multiple forms.

Exact Form:

152

Decimal Form:

7.5

Mixed Number Form:

712

Step-by-step explanation:

WIIILLLLLLLLLLLLLLLLL GIVE BARAINLIEST!

Which of the following processes in the water cycle causes the formation of clouds?condensation evaporation infiltration transpiration

Answers

Answer:

hey does this look good trying to hide a busted lip lol

Step-by-step explanation:

let's just say that me and my brothers got into a fight but I won XD

It is A: Condensation.

Step By Step Explaination:

Condensation is the process by which water vapor in the air is changed into liquid water. Condensation is a apart of the water cycle because it is responsible for the formation of clouds.

In 8 weeks, a hair salon gave 1,536 haircuts. The salon gave the same number of haircuts each week. How many haircuts did the hair salon give each week?

Answers

Answer:

192 haircuts

Step-by-step explanation:

Given that,

In 8 weeks, a hair salon gave 1,536 haircuts.

We need to find how many haircuts did the hair salon give each week.

8 weeks = 1,536 haircuts

1 week = (1,536 /8) haircuts

= 192 haircuts

Hence, the hair salon gives 192 haircuts each week.

Which of the following is the solution to the inequality −2x+4<20 ?

Answers

Answer:

x is less than or equal to 16

x=9

1/5w+7=−2 what the number of W

Answers

Answer:

w = -45

Step-by-step explanation:

1/5w + 7 = -2

Subtract 7 from both sides.

1/5w = -9

Get w alone. To get w alone, divide 1/5 from both sides. You can also multiply 5 to both sides which is basically the same as dividing by 1/5.

w = -45

A Bike shop charges by the hour to rent a bike. Related items are rented for flat fees. Write an expression that represents how much it will cost to rent a bike and helmet for H hours. How much will it cost to rent a bike and helmet for 3 hours

Answers

Answer:

y= b+ 3a

Step-by-step explanation:

Given data

We are required to rent a bike and a helmet

le the flat fee for bike rental be a

and the flat fee helmet be b

let the number of hours be h

and let the total cost be y

y= b+ah

for h = 3

tThen the expression for the total is given as

[tex]y= b+ 3a[/tex]

Answer:

yeh

Step-by-step explanation:

Gianna's family took a road trip. Gianna slept through the last 44% of the trip. If Gianna fell asleep after they had travelled 280 miles, what was the total length of the trip?

Answers

Answer:

500 miles

Explanation: 100-44 is 56, so 280 is equal to 56% of the trip. 280/56 is equal to 5. Therefore 5 is 1%, so if we multiply the 5 x 100 there we go, that's 100% of the trip. Not how your teacher told you to do it, but its the right answer.

Answer:

rip gigi

Step-by-step explanation:

500 miles

The diagram shows a right-angled triangle.
17 cm
hcm
40°
What is the value of h?
Give your answer correct to 1 decimal place.

Answers

Answer:

h = 20.3 cm

Step-by-step explanation:

Apply trigonometric ratio formula to find h.

Reference angle = 40°

Opposite side length = 17 cm

Adjacent side = h

Thus:

Tan (40) = 17/h

h × tan (40) = 17/h × h (multiplication property of equality)

h × tan(40) = 17

(h×tan(40)/tan(40) = 17/tan(40) (division property of equality)

h = 20.3 cm (1 decimal place)

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