How to factor out a polynomial with a 3rd degree.

Answers

Answer 1

Answer:

How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256

Answer 2

Answer:

long division is probably the simplest method of finding out the factors

Step-by-step explanation:

For example,  let G(x) = 8x³ – 125. Then factoring this third degree polynomial relies on a difference of cubes as follows: (2x – 5) (4x² + 10x + 25), where 2x is the cube-root of 8x³ and 5 is the cube-root of 125. Because 4x² + 10x + 25 is prime, you are done factoring.


Related Questions

You are playing a game where you draw a card from a standard deck, and you will win $13 if you draw a face card,
$3 if you draw an ace and lose $5 if you draw any other card. What is the expected gain from this game?

Round your final answer to the nearest cent.

Answers

Answer:

Step-by-step explanation:

win

There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.

There are 4 suits so the number of face cards is 3*4 =  12

There is 1 ace / suit

There are 4 suits so the number of aces is 1 * 4 = 4

The gain from the face cards = 12 * 13 = 156

The gain from the aces = 4 * 3 =               12

Total gain = 168

Losses

Any other card costs you $5

How many cards is that? 52 - 16 = 36

Each one costs 5 dollars

Total loss = 5 * 36 = 180

So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.

I need help please please please

Answers

Answer:

$28

Step-by-step explanation:

5.5% is $1.54 of what number? (%/100= is/of)

5.5/100 = 1.54/X

X = (1.54 * 100) / 5.5 = $28

Answer:

sus

Step-by-step explanation:

O_O

Ryan drove 205 miles in 5 hours. If he drove at a constant rate, how far did he travel in one hour?

Answers

Answer: 41 miles

Step-by-step explanation:

Answer:

41 miles

Step-by-step explanation:

41 miles in a hour rate.

help me with this i dont understand

Answers

Answer:

4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The scale factor is the ratio of the corresponding sides.

Take the base of both quadrilaterals.

Large quadrilateral:

6 - (-6) = 12

Small quadrilateral:

2 - (-2) = 4

Scale factor:

k = 12/4 = 3

50 points for the answers to this question

Answers

Answer:

linear, non linear, non linear, non linear

Linear
Linear
Nonlinear
Linear

Hope this helps

the sum of three consecutive odd integers is 17 less than four times the smallest integer. find the largest integer.



PLSSS helPPP :')

Answers

Answer:

Find three consecutive integers where their sum is 17 less than four times the smallest integer. So consider any integer -- let's call it n.

7 answers

 

·

 

1 vote:  

Let the smallest of those numbers be [math]n[/math], then the other numbers w

Step-by-step explanation:

1
73
Lech bought 8 t-shirts al
for the same proe. After
using a coupon that took $4
off the pnce, her told
before tax was $36. What
was the cost of each shirts

Answers

Answer:

[tex]t=5[/tex] dollars per t-shirt

Step-by-step explanation:

Read the problem and write your equation while following along with it

We have 8 t-shirts

Lets 8 t-shirts be represented by 8t

So for our equation we will place and [tex]8[/tex]

Our equation: [tex]8t[/tex]

Now it says we have a coupon that subtracts 4 dollars from our total

Our equation: [tex]8t-4[/tex]

The final part to add to our equation says that our total before tax was 36 dollars

So here is our equation: [tex]8t-4=36[/tex]

add [tex]$[/tex][tex]4[/tex] to both sides

[tex]8t=40[/tex]

Divide both sides by [tex]8[/tex]

[tex]t=5[/tex] dollars per t-shirt

-Side note, make sure to spell your question right. It was a tad bit confusing to read at the start.

-Brainliest please :)

The cash price of a used sedan is $18,750. Arthur Dennis cannot pay
cash, so he is making a down payment of $2,750 and 60 monthly
payments of $325 each. How much more does it cost to buy the vehicle this way?

Answers

Answer:

19,500

Step-by-step explanation:

You multiply 325 x 60 and you get 19,500

Can someone help me with this problem 9(n+3)<10(n+1)

Answers

[tex]9(n+3)~<~10(n+1)\implies 9n+27~<~10n+10 \\\\\\ 27~<~n+10 \implies 17 ~<~ n[/tex]

Select the correct answer from each drop-down menu.

The graph of g(x) is shown.



The graph of h(x) = g(x + 5) has
and
.

Answers

The function h(x) has a horizontal asymptote at y=5 and the  vertical asymptote is x=-2.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, h(x)=g(x+5.

Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k.

Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k.

Here, the horizontal asymptote is 3, and the vertical asymptote is -2

The graph of h(x) = g(x+5) had a horizontal asymptote at y=5 and the same vertical asymptote as function g(x).

Therefore, the function h(x) has a horizontal asymptote at y=5 and the  vertical asymptote is x=-2.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Pls help I need ASAP pls

Answers

Answer:

  -1

Step-by-step explanation:

The line goes down 1 grid square for each grid square to the right. Each grid square represents 1 unit in both the x- and y-directions. That means the slope is ...

  m = rise/run = -1/1 = -1

The slope of the line is -1.

what is 3/4 ÷ 1/6 plz help ​

Answers

Answer:

4.5

Step-by-step explanation:

Write a possible equation for a polynomial with zeros at -4, -5, 0, 1/3.

Answers

[tex]\begin{cases} x = -4\implies &x+4=0\\ x=-5\implies &x+5=0\\ x = 0\implies &x=0\\ x=\frac{1}{3}\implies &x -\frac{1}{3}=0\\ &3\left( x -\frac{1}{3} \right)=3(0)\\ &3x-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x+4)(x+5)(x)(3x-1)=\stackrel{\textit{original equation}}{0} \\\\\\ (x^2+9x+20)(x)(3x-1)=y\implies (x^3+9x^2+20x)(3x-1)=y \\\\\\ (3x^4+27x^3+60x^2)+(-x^3-9x^2-20x)=y[/tex]

[tex]3x^4+27x^3+60x^2-x^3-9x^2-20x=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 3x^4+26x^3+51x^2-20x=y~\hfill[/tex]

What is m + 5n where m = 1 and n = 5?

CHOOSE THE RIGHT ANSWER:
A. 26
B. 52
C. 25
D. 62

HELP! (T^T)​

Answers

Answer:

A. 26

Step-by-step explanation:

substitute the number in for the variables (letters).

[tex]m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26[/tex]

please help me w my khan academy

Answers

Answer:

in armed forces is .15%

military dependant is 3%

and civilian is 96%

Step-by-step explanation:

hope this helps! ❄︎

if the mean of a data is 316 and the sum of its observation is 3792 find the number of observations in the data.​

Answers

Answer:

12

Step-by-step explanation:

mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Here mean = 316 and sum = 3792 , count n is required to be found, so

[tex]\frac{3792}{n}[/tex] = 316 ( multiply both sides by n )

3792 = 316n ( divide both sides by 316 )

12 = n

There are 12 observations in the data

What are the example of discount? ​

Answers

Answer:

The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for. An example of something described as discount is a purse sold for 50 percent off its normal price or a store that focuses on selling designer items at below-market prices.

Answer:

the marked price of book is 2000.and vat is 13 percent.selling price is 1500then find discount

Unit 4: Congruent Triangles
bimo
Homework 5: Proving Triangles Congruent:
SSS & SAS

Answers

Answer:

SSS:

Draw a triangle with sides of 2 cm, 3cm and 4cm and another one of 4cm, 6cm and 8 cm. Both will be SSS congruent.

SAS:

Draw a triangle with sides of 2 cm, 3 cm and another side of your choice. The angle between sides of 2 and 3 cm is 30 degrees. Now draw a triangle with sides of 4 cm, 6cm and another side of your choice (but this one cannot be the double of the 3rd side of the first triangle!) . The angle between the sides of 4 cm and 6 cm should be 60 degrees. Now you have 2 SAS congruent triangles.

Helmet Nemzek recieved a COLA of 2.3% on his weekly gross wages of $760 how much will helmet earn per week after the pay increase

Answers

Answer:

Step-by-step explanation:

$760(1.023) = $777.48

What is rhe relationship between a centimeter and a meter?

Answers

Answer:

A meter is 100x bigger than a centimeter.

Step-by-step explanation:

1 meter = 100 centimeters

Answer:

1metre=100 centimeter

Step-by-step explanation:

that is the relationship between centimeter and metre

maya picks 16 vegetables 6 of them are carrots the rest are cucumbers then she gives away 5 cucumbers how many cucumbers does maya have now

Answers

Answer:

5

Step-by-step explanation:

First subtract 6 from 16 to find how many cucumbers she has,

16 - 6 = 10

Now we know she has 10 cucumbers.

Subtract 5 from the 10 cucumbers to find out how many she has after giving away 5.

10 - 5 = 5

After subtracting the 5 cucumbers she gave away, we are left with 5

This means Maya has 5 cucumbers now

Will be giving brainliest! Have a good day and you’ll get through it !

Answers

Answer:

ok you to !!!!!!!!! good night!!

Step-by-step explanation:

Kenrick mows lawns on Sundays. Last
week it took him 5 hours to finish.
This week it took only 5 hours. How
many times longer did it take last
week than this week?

Answers

Answer:

0 hours.

Step-by-step explanation:

He finished at the same time than Kenrick finished last week. So, he/she did not delay in mowing the lawn. Hoped this helped.

If h(x)=5x+7, then h(x) has a zero at which of the following values?
(1) -5
(2) 7
(3) -1.4

Answers

Answer:

Step-by-step explanation:

0 = 5x + 7

-7 = 5x

x = - 7/5 = -1.4

Answer:

-1.4

Step-by-step explanation:

h(x)=0=5x+7

or, 5x= -7

x= -7/5= -1.4


Simplify the expression 4(x-5) / 2
a. 8x - 40
b. 2x -
C. 5x - 20
d. 2x - 10
HELP PLZZZZZZ

Answers

If you simplify it, you get 2x-10 or D

Answer:8x-40

Step-by-step explanation:

Because when we simply 4(x-5)/2

We multiply both sides by 2 because the inverse operations of division is multiplication. 2*4(x-5)*2/2 we cancel two by two then it leave us 4*2(x-5).

Next four times two is eight. So 8(x-5) we distribe eight that means eight times x and 5, 8x-40thos is the answer. Hope this help

1.1 is the result of finding the product of 1/2 and 3 minus a number. What is the number?
A. 5 1/5
B. 2 9/20
C. 4/5
D. -19/20

Answers

Answer: i think the answer is B.

Step-by-step explanation:

D can’t be correct cause it’s a negative and there’s no negatives in the question , if you look at B 2 9/20 can go into 1/2.

Answer:

C. 4/5

Step-by-step explanation:

k12

Yamuna is getting ready to attend Wittenberg University in the fall. She needs 6 notebooks
at $2.19 each and a chromebook at $529.00. If she has $575 to spend, how much does
she have left for lunch?

Answers

Answer:

she has $32.86 left for lunch

Step-by-step explanation:

6 books at $2.19 each equals $13.14. plus the chrome book at 529. 529+13.14= $542.14

$575-542.14 equals $32.86

A college employs 15 stewards. What is the average monthly wage of the stewards if the college pays 226.20 in wages each month?​

Answers

Answer:

$15.08

Step-by-step explanation:

As the value 226.20 is the total of all wages, you can work out the mean.

Mean averages are usually worked out as the total / number of values.

Because you already know the total is 226.20 and the number of values is 15 different wages, divide 226.20 by 15 to get $15.08.

A man flies a kite 354 feet in the air when he runs out of string, what is the angle of elevation if he had 200 yards of string to begin with

Answers

Answer:

Step-by-step explanation:

Assuming the string is straight (it will not be so due to gravity and wind load)

θ arcsin(354 / (200(3)) = 36°

a college student is saving money to buy a laptop. the student has $85 saved and saves $35 each week. The function a(t)=35t + 85 represents the amount of money the college student has saved for the laptop after t weeks. The student receives $50 as a birthday gift .
If the function f(t) = a(t) +50 represents the total amount the student has saved , which best describes the transformation from a(t) to f(t)?

Answers

Answer:

B a vertical translation 50units right

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