Factor completely 2x^3 + 6x^2 + 10x + 30

Answers

Answer 1

Answer:

The factored expression is 2(x² + 5)(x + 3).

Step-by-step explanation:

Hey there!

We can use a factoring technique referred to as "grouping" to solve this problem.

Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.

Grouping works in the following matter:

Given equation: ax³ + bx² + cx + dGroup a & b, c & d: (ax³ + bx²) + (cx + d)Pull GCFs and factors

Let's apply these steps to the given equation.

Given equation: 2x³ + 6x² + 10x + 30Group a & b, c & d: (2x³ + 6x²) + (10x + 30)Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)

As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.

Now, we use our GCFs to create another factor.

List GCFs: 2x², 10Create a term: (2x² + 10)

Finally, we'll need to simplify this one by taking another GCF, 2.

Pull GCF: 2(x² + 5)

Now that we have this term, we need to understand that this could also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.

Therefore, we have our final factors: 2(x² + 5) and (x + 3).

However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).


Related Questions

Someone please help me with equation :)

Answers

Answer:

Use the formula pi r^2. You are finding the radius. Plug the numbers in.

Answer:

Should be the second one.

Step-by-step explanation:

First you have to think that the entire circle is blue. So the area of the blue circle is: 3.14*11^2 = 379.94.

Then you have to look at the smaller circle. There the radius is: 3. So the area would be: 3.14*3^2 = 28.26

They are asking you to find the shaded area. So you subtract the bigger circles area with the smaller circle.

379.94 - 28.26 = 351.68 to the exact.

Question 1 of 5 What is the fractional equivalent of the repeating decimal 08 ?​

Answers

Did u mean refractional equation of 0.8? If so, then the answer would be 0.888888 It is a repeating 8 after the 0.

pls I need help with this math question.

Answers

Answer: -4096

Step-by-step explanation:

Another easy points let’s goooo

Answers

Answer:

916110

Step-by-step explanation:

39*27*29*30

I need help with this graph! I need to solve this equation to understand where to graph the points, I really need help on this ty :)

(you don't need to actually graph it just tell me where to put the points please!)

Answers

Answer:

y-int = (0, -1.26)
x-int = (2, 0)

Explanation:

Key: 3/ = cube root
| = end of cube root

To find the y-int, you make x equal to zero...

3/ x - 2
3/ 0 - 2
3/ -2

and to find the x-int, you make the entire function equal to zero...

3/ x - 2 | = 0
x - 2 = 0 (cube sides to get rid of cube root)
x = 2

To find any other points, just plug in an x to the original function, and the answer you get will be the y.

Hopefully this helped!

Brainlyist for the right answer

Answers

Answer:

it is C.

Step-by-step explanation:

just trust me.

Answer:

she is right it's C

Step-by-step explanation:

Have a good Day! :)

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, while profits increased
$7.5 million per year. Select the correct graph of this function

Answers

Answer:

Step-by-step explanation:

The answer is: There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.

hope this help and srry if wrong

An electronics store purchases
laptops for $425.00. They use a
markup rate of 60%. How much do they
sell the laptop to their customers?
A) $680.00
C) $255.00
B) $450.50
D) $595.00

Please help and no links. :)

Answers

Answer:

255.00

Step-by-step explanation:

425.00 x .60 = 255

Please help me with this!!!!!!!!!!!!!

Answers

Answer: right 2 units

Let f(t) represent the temperature of a turkey baking in an oven as a function of time t in the oven (in minutes). This means time is the independent variable and temperature of the turkey is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.

Explain the meaning of each statement in the context of the situation using everyday language. Remember that the input of the function t is the time in the oven and the output f(t) is the temperature of the turkey at that time.

1. f(0) = 50. (8 points)

2. f(120) > f(60). (8 points)

3. f(360) = f(345). (7 points)

4. f(390) < f(360). (7 points)

Answers

Answer:

Step-by-step explanation:

1. f(0) = 50. (8 points)  The beginning temperature of the turkey was 50 degrees.  The '0' represents "beginning."

2. f(120) > f(60). (8 points)  The temperature of the turkey after 120 min (2 hours) is greater than that after 60 minutes (1 hour).

3. f(360) = f(345). (7 points)  The temperature of the turkey is the same after 360 minutes as it is after 345 minutes.

4. f(390) < f(360). (7 points)

The temperature of the turkey drops after 360 minutes (6 hours), because the turkey is taken out of the oven and/or the oven is turned off.

Solve for x . Hurry pleaseeeeeeeeeeee

Answers

Answer:

X = 4

Step-by-step explanation:

Answer:

x = 4

mark me as branliest

A metric unit that is equal to one thousandth of a liter is...

Answers

Answer:

mililiter

Step-by-step explanation:

Various types of doctors attended a large medical conference. Someone leading a session asked the 30
doctors in attendance how many years of experience they each had. The 15 dermatologists at the session
had an average of 8 years of experience.
For which population is 8 years a legitimate estimate of the average experience?
Choose 1 answer:
The dermatologists at that session only
B
All doctors at that session only
С
All dermatologists at that conference only
All doctors at that conference only

Answers

Answer: The dermatologists at that session only

Step-by-step explanation:

It was on a Khan Academy practice.

what does y=x match?

Answers

Answer:

m = 1

Step-by-step explanation:

slope intercept form --> y=mx+b

y=1x+0

therefore the slope is

m = 1

Rosa can send texts on
her phone at the rate
of 32 words per minute.
How long would it take
her to text 150 words?

Answers

Answer:

4.7 minutes

Step-by-step explanation:

150/32 is 4.68 which rounds to 4.7

A transcriptionist types 62 words per minute. Which statement is correct? As the number of words increases, the number of minutes decreases. As the number of words decreases, the number of minutes increases. The number of words, w, is the dependent variable.

Answers

Answer:

The number of words, w, is the dependent variable.

Step-by-step explanation:

ANSWER NUMBER 2 PLEASE

1. The following test scores were collected from a math class: 84, 72, 78, 80, 75, 88, 43, 90, 75. Determine the outlier.

The outlier is 43.

2. Based on the data set in #1, which measure would better describe the test scores?

A. Mean
B. Median​

Answers

It would be the mean I’m pretty sure

Answer:

B: Median

Step-by-step explanation:

If there is an outlier then the median is better.

If there isn't an outlier then the mean is better.

Solve the system by using the elimination method.

Answers

Answer:

(8, 4 )

Step-by-step explanation:

Given the 2 equations

5x - 5y = 20 → (1)

- 3x + 5y = - 4 → (2)

Add the 2 equations term by term to eliminate the y- term

2x + 0 = 16

2x = 16 ( divide both sides by 2 )

x = 8

Substitute x = 8 into either of the 2 equations and solve for y

Substituting into (2)

- 3(8) + 5y = - 4

- 24 + 5y = - 4 ( add 24 to both sides )

5y = 20 ( divide both sides by 5 )

y = 4

solution is (8, 4 )

[tex]4(3-5x)=15-(8x-25)[/tex]

Answers

Solving by x the answers are

Exact form: x= -7/3 _
Decimal form: x= -2.3
Mixed number form: -2 1/3

Solve by factoring

2n^2+12n+18

Answers

Answer:

Step-by-step explanation:

d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)

Indefinite integral:

integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant

Global minimum:

min{2 n^2 + 12 n + 18} = 0 at n = -3

Select the letter in the box that correctly describes the three-dimensional figure.

A B C D E
Cone
Sphere
Cylinder

Answers

A cone is B,D
A sphere is E
A cylinder is A,C

Please help with this its confusing somehow :(​

Answers

Answer :- D

Refer to the attached image for solution ❤️

On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9 kg weighs 63 N . Calculate the mass of another object that weighs 14 N.

Answers

Answer:

The mass is 2 kg.

Step-by-step explanation:

W = kM     where k is a constant so

63 = k*9

k = 7

So: W = 7M

when W = 14:

14 = 7M

M = 2.

Some please help I’ll give BrainLiest

Answers

Answer:

The author thought the event was exciting and interesting

He thought it was interesting

porfa es pa hoy les doy 26 puntos​

Answers

no puedo mirar las preguntas que están enseñando en la foto

hola como esta no veo bien las preguntas

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, How many more hot dogs would Winston needto sell to earn a total of $175.00 ?

Answers

Answer:

Winston would need to sell 14 more hot dogs to earn a total $175

Step-by-step explanation:

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!

Answers

Answer:

FHG is 45 degrees

Step-by-step explanation:

For a square, each of the angles at the corners measure 90 degrees

Also, the two diagonals are equal and they bisect one another

Also, the diagonals bisect each of the angles at the corners making each angle lying in each triangle to be 45 degrees, thereby creating 4 isosceles right triangles

For FHG, looking at the triangle FHG, FG and GH are equal lengths as we have an isosceles right triangle

An isosceles right triangle is only possible when the two internal angles asides the right triangle are 45 degrees each

What this mean is that FHG measure is 45 degrees

Una botella pesa 1090kg cuando esta llena y 250g cuando esta vacía. ¿Cuanta masa de aceite contiene la botella?

Answers

Respuesta:

1089,75 kg

Explicación paso a paso:

Dado que :

Masa de embotellado lleno = 1090 kg

Masa de la botella vacía = 250 g

Masa de aceite que contiene la botella:

Expresando la masa de la botella cuando se llena en gramos:

1000 g = 1 kg

1090 kg = (1090 * 1000) = 1090000 g

La masa de aceite que contiene la botella es así:

Masa de la botella cuando está llena - masa de la botella cuando está vacía

1090000 g - 250 g = 1089750 g

Por tanto, la masa de aceite es 1089750 g

O 1089750/1000 = 1089,75 kg

Which of the following expressions is
equivalent to the expression below?
3(2x + 4)
А 3х + 4
C 6x + 4
B 6x + 12

Answers

Answer:

6x + 12

Step-by-step explanation:

this is because 3 times 2x = 6x and 3 times 4 = 12.

Answer:

6x+12

Step-by-step explanation:

Brainliest question if you help

Answers

Answer:

C.

Step-by-step explanation:

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