full process to find HCF of x^3 -1 and x^4+ x^2 + 1​

Answers

Answer 1

Answer:

Step-by-step explanation:

Factor of x^3-1= (x-1)(X^2+X+1)

Apply the formula of a^3-b^3=(a-b)(a^2+b^2+1)

X^4+x^2+1=(x^2+X+1)(x^2-x+1)

H.c.f is (x^2+X+1)


Related Questions

ILL MAKE MOST BRAINLIEST PLZ HELP!!!

Graph the equation on the coordinate plane.

y = 4x

What does 4x look like on a cordinate plain?

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

The slope would be 4 (because in y=mx+b form, m = slope)

The y-intercept would be zero (0,0) since b = y-intercept, and there is no b in this equation.

From (0,0) you would rise four to get (0,4) and go over to the right one (1,4)

To make another point, you could go down 4 from (0,0) to get (0,-4) and to the left one to get (-1,-4)

Hope this helps.

A water faucet runs at a rate of 4/5 gallon per 1/5 minute. What is the unit rate of the faucet? *

Answers

Answer:

4gallons per minute

Step-by-step explanation:

Step one:

the unit rate is the amount of water per unit of time

Given data

4/5 gallon to decimal= 0.8gallon

1/5 minute decimal= 0.2 minute

We are told that 0.8 gallons run in 0.2 minute

                      then x gallon will run in 1 minute

cross muliply we have

x=0.8/0.2

x=4

this means that in one minutes 4gallons will run in the faucet

The unit rate is 4gallons per minute

Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer: 105 degrees

Step-by-step explanation:

Both angles equal 180 so if we subtract 75 from 180 we get 105.

Answer:

105º

Step-by-step explanation:

<ONC and <BNJ are a linear pair, the angles are supplementary (eqauls 180º).

in a school, the number of boys is 9 more than thrice a number of girls. if the total role of class is 60. what is the total role of girls ​.​

Answers

B = 3g + 9
G + b =60
G + 3g + g
5g = 60
G = 12

Factor Completely

f(x)= x^4 - 2x^3 - 3x^2 + 2x + 2

Answers

(x^2+x+1)^2 i think hopefully this helps

Solve by elimination
-2x + 6y = 16
- 4x - 3y = 2
please help

Answers

Answer:  

(−2,2)

Hope it helps!


A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in
1/2 hour?

Answers

6.75 miles per half hour !!!!!!!

Answer:

13.5 miles or 13 1/2

Step-by-step explanation: because 27 divided by 27 is 13.5 or 13 1/2.

A translation maps (x, y) to
(x – 5, y + 3). In which
quadrant does the point
(-3,-2) lie under the same
translation?

Answers

Answer:

second quadrant

Step-by-step explanation:

(x, y ) → (x - 5, y + 3 ) means subtract 3 from the original x- coordinate and add 3 to the original y- coordinate.

(- 3, - 2 ) ← in third quadrant

→ (- 3 - 5, - 2 + 3) → (- 8, 1 ) ← in second quadrant

Please Help I greatly appreciate any help. Thank You to those who help I will give a 5 star rating and a brainiest crown

Answers

Answer:

first pic, 2.5 pounds of peanuts cost $1, 17.5 pounds of peanuts cost $7, and the point (4,10) is also on the line. second pic, G.

Step-by-step explanation:

2.5 goes into 17.5, 7 times. then $7/7 means $1 for 2.5 pounds. that is true. second one they state the graph. the last one, if you calculate knowing 2.5 pounds is $1, then it is correct. for the second pic, i dont know but ill give you this im really sorry. draw a triangle from the two points getting a slope of 3. but this is negative so it's -3. the slope for the equation if it's perpendicular is 1/3 tho. wait i got it i think it's G since it's going to be perpendicular so if you draw it on, it would be positive.

Please show work in answer: 20/x^2-4x+7=x+2

Answers

Answer:

x = 2

Step-by-step explanation:

Write as an exponent with the base of b:
[tex]bb^{m}[/tex]

Answers

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[tex]b. {b}^{m} = {b}^{1 + m} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

What is the answer to this problem?

Answers

The slope of a line is [tex]\frac{dy}{dx}[/tex]

where [tex]d[/tex] is the difference and [tex]y[/tex] and [tex]x[/tex] are the values.

In this case, the difference in [tex]y[/tex] is 10 and the difference in [tex]x[/tex] is 0

And division where the denominator being 0 leads to the answer being Undefined or Infinity as the line is directly on the [tex]y[/tex] axis.

A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $693 on props, and 45% of the total budget on costumes. What was the total budget for their student film?

Answers

Answer:

The total budget is $1260

Step-by-step explanation:

Given

[tex]Props = \$693[/tex]

[tex]Costumes = 45\%[/tex]

Required

Determine the total budget

Since all budgets was spent on Props and Costumes only.

We have that.

[tex]\%Props + \%Costumes = 100\%[/tex]

[tex]\%Props + 45\%= 100\%[/tex]

[tex]\%Props= 100\% -45\%[/tex]

[tex]\%Props= 55\%[/tex]

In other words, 55% was spent on Props

Let the total budget be x, we have:

[tex]55\% * x = \$693[/tex]

Make x the subject

[tex]x = \$693/55\%[/tex]

[tex]x = \$1260[/tex]

Hence, the total budget is $1260

Why would the law of cosines be used to solve for b in the triangle below? SAS is given, and the unknown measure, b, is a side length. SSA is given, and the unknown measure, b, is a side length O 36° O 3.5 7 SSS is given, and the unknown measure, b, is an angle measure. ASA is given, and the unknown measure, b, is an angle measure. DONE b​

Answers

Answer:

it's a

Step-by-step explanation:

its a on edge

Answer: A

Step-by-step explanation:

I need some help on this question also answer choices for the boxes are on another question I asked right after this​

Answers

Step-by-step explanation:

actually I don't know that. maybe you should take the pitagora theory. maybe...

Decide if each statement about the expression 7f + 15 - 2g is true or false.



The expression contains 2 terms.

Answers

Answer:

            FALSE

Step-by-step explanation:

The  statement "The expression contains 2 terms." is false because the expression contains 3 terms:  7f, 15 and -2g

The given statement "expression contains 2 terms" is false, Because it contains three terms of which two are the variable and one is a constant.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

The expression is,

7f + 15 - 2g

The given expression contains 2 terms.

A term is a single expression, a single integer (positive or negative), and a  single variable (a letter), or a number of variables that have been multiplied but never added or canceled are all acceptable.

The given statement is false because it reported only two terms but there are more than two terms.


Thus, the given statement "expression contains 2 terms" is false Because it contains three terms of which two are the variable and one is a constant.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Courtney walked from her house to the beach at a constant speed of 444 kilometers per hour, and then walked from the beach to the park at a constant speed of 555 kilometers per hour. The entire walk took 222 hours and the total distance Courtney walked was 888 kilometers.

Answers

Answer:

I suppose that each number is repeated 3 times, the actual question is:

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.

Now, remember the relation:

Distance = Speed*Time

Let's define:

D1 = distance between Courtney's house and the beach.

D2 = distance between the beach and the park.

T1 = time that it took the first walk.

T2 = time that it took the second walk.

We know that the total distance Courtney walked is 8km, then:

D1 + D2 = 8km.

And we also know that the entire walk took 2 hours, then:

T1 + T2 = 2h.

We also have the equations:

D1 = 4km/h*T1

D2 = 5km/h*T2.

Then we have a system of equations:

D1 + D2 = 8km

T1 + T2 = 2h

D1 = 4km/h*T1

D2 = 5km/h*T2.

To solve this, first let's replace equations 3 and 4 in the first equation:

4km/h*T1 + 5km/h*T2 = 8km

Now we have only two equations left:

4km/h*T1 + 5km/h*T2 = 8km

T1 + T2 = 2h

Now we can isolate one of the variables in the second equation and then replace it in the first equation, i will isolate T1:

T1 = 2h - T2.

Replacing this in the first equation gives:

4km/h*(2h - T2) + 5km/h*T2 = 8km

Now let's solve this for T2.

8km - 4km/h*T2 + 5km/h*T2 =  8km

8km + 1km/h*T2 = 8km

1km/h*T2 = 0

from this, we have T2 = 0

This would mean that T1 = 2h.

Then:

D1 = 4km/h*2h = 8km.

T2 = 0

D2 = 5km/h*0 = 0.

This happens because the numbers in the problem were not well thought.

You can see that when she spends the 2 hours walking at the smaller speed, she already reaches the total distance, then if she walked any amount of time at the larger speed, the total distance would be more than 8km.

James is a journalist with an annual income of $85,350. James has to pay an income tax of 8%. What is the amount of income tax in dollars and cents that James has to pay? 7.13A

Answers

Answer: $6828

Step-by-step explanation:

James annual income = $85350

Income tax = 8%

The amount of income tax in dollars and cents that James has to pay will be calculated by multiplying the income tax by his annual income. This will be:

= 8% × $85350

= 8/100 × $85350

= 0.08 × $85350

= $6828

Find the largest number of balls that will fit inside the box. Hence, find the volume in cm3, of the empty space in the box.
Use 22/7 as pi.

Answers

Answer:

i cant see image

Step-by-step explanation:

oof

PLEASE HELPPPP 15 POINTS! A man's shoe size is approximately three times his foot length in inches, minus twenty-two. What would be the equation that could represent his shoe size, y, in terms of inches, x?
A. y=3x-22
B. y=22x-3
C. x=3y-22
D. 3x+22

Answers

Answer:

I am sorry

Step-by-step explanation:

I am new

Answer:

a

Step-by-step explanation:

im 100% sure

A logo is drawn inside a rectangle.
It is made up of four congruent triangles,
16cm
21cm
What fraction of the rectangle is covered by
the triangles?​

Answers

Answer:

14

Step-by-step explanation:

14

Help me find a 3rd degree binomial

Answers

Step-by-step explanation:

A binomial expression has two terms. For example, 4x + 5,

The degree of any polynomial refers to the term with the highest exponent on its variable. For example, In expression 4x + 5, the exponent of x is 1 so it is 1st degree polynomial and in the same way, for  since the variable y has the highest exponent i.e., 2 therefore it is 2nd degree polynomial.

Now, third degree binomial with constant term 8 =

As it has two terms where first term is  and second term is 8. Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8.

Image on top, please help.

Answers

14.5
6.25+2.50+2.50+2.50=13.75
Then for the chips, you pay one half. One half of $1.50 is 0.75.
13.75+0.75=14.5

The value of |kl - |m| if k= -8 and m = -5 is .

PLEASE HELP

Answers

-3 ? i think if it’s wrong i’m sorry

A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 units. Do you agree? Why or why not?
A.S.A.P. I HAVE TO TURN THIS IN AT 10:30 HURRY PLEASE :)

Answers

Given:

A student says that the graph of the equation [tex]y = 3(x + 8)[/tex] is the same as the graph of [tex]y = 3x[/tex], only translated upwards by 8 units.

To find:

Whether the student is correct or not.

Solution:

Initial equation is

[tex]y=3x[/tex]

[tex]f(x)=3x[/tex]

Equation of after transformation is

[tex]y=3(x+8)[/tex]

[tex]g(x)=3(x+8)[/tex]

Now,

[tex]g(x)=f(x+8)[/tex]      ...(i)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]        ...(ii)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (i) and (ii), we get

[tex]a=8\text{ and }b=0[/tex]

Therefore, the graph of [tex]y=3x[/tex] translated left by 8 units. Hence, the student is wrong.

Parents will kill me if I don't get this done in an hour (BRAINLIEST IF ANSWER IS CORRECT AND WORK IS SHOWN)

Answers

Answer: -3 1/2 and -6

i will give brainlist

Answers

Answer:

oml not u making me do math

Step-by-step explanation:

not u making me do math

Just answer correctly to get brainleist and 10 pts! :)

Answers

Hey are you good at grade 10 physics?

Evaluate for a=3, b=2 and c=10.
(c - a)^b

Answers

Answer:

49

Step-by-step

step 1 subtract 10 -3

step 2 multiply 7 x 7

that's your answer

Answer:

49

Step-by-step explanation:

Step 1:

a = 3; b = 2; c = 10         Given

Step 2:

[tex](c-a)^{b}[/tex]         Equation

Step 3:

[tex]( 10 - 3)^{2}[/tex]        Input values

Step 4:

( 7 ) ²           Parentheses

Answer:

49

Hope This Helps :)

It rained 6.14 inches on Saturday and 4.71 inches on Sunday. How much did it rain on
Saturday and Sunday combined?
ASAP

Answers

Answer:

10.65 inches

Step-by-step explanation:

You simply add Saturday's and Sunday's total together

6.14+4.71=10.85

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