Use the grouping method to factor this polynomial completely.
3x3 + 12x2 + 2x + 8
A. (3x2 + 4)(x+4)
B. (3x2 + 4)(x+2)
C. (3x2 + 2)(x + 2)
O D. (3x2 + 2)(x+4)

Answers

Answer 1

Answer:

[tex]D)\:(3x^{2} +2)(x+4)[/tex]

Step-by-step explanation:

[tex]3x^{3} + 12x^{2} + 2x + 8[/tex]

Group, [tex]3x^3+12x^2+2x+8[/tex]  [tex]=(3x^{3} +12x^{2} )+(2x+8)[/tex]factor out [tex]3x^{2}[/tex]in the first and 2 in the second group.

[tex]3x^{2} (x+4)+2(x+4)[/tex]

Factor out common term [tex]x+4[/tex] by using distributive property.

polynomial [tex]3x^{2} +2[/tex] is not factored since it does not have any rational roots.

[tex](3x^{2} +2)(x+4)[/tex]

_____________________________

Answer 2

Answer:d

Step-by-step explanation:


Related Questions

Helen wants to paint a rectangle with an area of
35 square feet on her wall. If the height of the rectangle is 3 feet,
what is the width of the rectangle? (Remember, area = length x width.)
Write an equation and solve.

Answers

11.66… You gotta do long subtraction

. Order these numbers in Descending order 28.3 1 28 3 5V25 25 4 nswer:​

Answers

Answer:

28.3 28 25 5 4 3 1

Step-by-step explanation:

What is that V there for? I can fix answer if needed

thankyousm!! please help me

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4x10^8 = 400,000,000 so that’s your answer

how is five hundred two thousand,seven and four hundredths written in expanded nataion?

Answers

Answer:

502,007.004

Step-by-step explanation:

because I smart middle schooler

Answer:

502,007.004

Step-by-step explanation:

because I smart middle schooler

which of the parent functions are monomial functions, which are power functions?
I WILL MARK BRAINLIEST!!!!

Answers

Answer: D

Step-by-step explanation:

Please help me solve this problem

Answers

Answer:

i am sorry but plz help me

You have a bag filled with different colored poker chips. In the bag, there are 5 red chips, 16 grey
chips, 4, black chips, 7 blue chips, and 13 green chips. What is the ratio of the number of total chips to
the number of red AND blue chips

Answers

Answer:

45:12

Step-by-step explanation:

5 + 16 + 4 + 7 + 13 = 45

5 (red) + 7 (blue) = 12

2x - 7= -11
What’s the answer?!?!?

Answers

Answer:

×=9

Step-by-step explanation:

2× - 7=11

2× - 7+7=11+7

A bag contains 3 black marbles and 5 white marbles. Paul picks a marble at random from the bag and replaces it back in the bag. He mixes the marbles in the bag and then picks another marble at random from the bag. Calculate the probability that Paul picks:
A. Two black marbles
B. Black marble in his second draw

Answers

Answer:

id go with B.

you'd get a mix because its bound to happen.

Dan şi Andrei au inventat Jocul rotunjirii" și au hotărât ca fiecare să scrie cinci numere care se rotunjesc la zeci de mii prin 70 000. Copiii au stabilit însă și următoarele reguli: a. numerele scrise de Dan să aibă pe locul zecilor de mii o cifră mai mică decât 7; b. numerele scrise de Andrei să aibă pe locul zecilor de mii cifra 7; Scrie și tu câte şase numere care se rotunjesc la 70 000 și respectă regulile stabilite de băieţi.​

Answers

I would actually need you to translate this into english I I would be able to answer for you :)

Please help

Find the equation of the line.
?
Х
101

Answers

Answer:

10

Step-by-step explanation:

Commission A sales associate in a jewelry store earns $450 each week, plus a commission equal to 6% of her
sales. This week her goal is to earn at least $600. How much must the associate sell in order to reach her goal?

1. Write an expression to represent how much a sales associate earns each week. Remember to define your variable.

2. How much does she want to earn this week?

3. Should you use an equation or an inequality to compare the amount the sales associate earns and her goal?
Explain.

4. What inequality can you use to find how much the associate must sell in order to reach her goal?

5.
Solve the inequality. Show your work.

Answers

We’ll it’s all cuz dos a

supsuppose you divide a bar diagram into 25 equal-size sections and shade 5 sections what percent is modeled in the diagram

Answers

The percent is 1.25 because if you look it up it should give you an answer

5 shaded sections are 20% of 25 equal size sections.

Given that, you divide a bar diagram into 25 equal-size sections and shade 5 sections.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, 5/25 × 100

= 0.2 × 100

= 20%

Therefore, 5 shaded sections are 20% of 25 equal size sections.

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These triangles are scaled copies of each other.



For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?

a. Triangle G and Triangle F Response area

b. Triangle G and Triangle B Response area

c. Triangle B and Triangle F Response area

d. Triangle F and Triangle H Response area

e. Triangle G and Triangle H Response area

f. Triangle H and Triangle B Response area

Answers

Answer:

a. 4

b. 1/4

c. 16

d. 1/9

e. 4/9

f. 9/16

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the lengths of the sides.

a. Triangles G and F

Select a side in triangle G and the corresponding side in triangle F:

side in F: 10

corresponding side in G: 5

ratio of lengths of F to G = 10/5 = 2

ratio of areas of G to F: (2)^2 = 4

b. Triangles G and B

Select a side in triangle G and the corresponding side in triangle B:

side in G: 5

corresponding side in B: 5/2

ratio of lengths of B to G = (5/2)/5 = 1/2

ratio of areas of B to G: (1/2)^2 = 1/4

c. Triangles B and F

Select a side in triangle B and the corresponding side in triangle F:

side in B: 5/2

corresponding side in F: 10

ratio of lengths of F to B = 10/(5/2) = 4

ratio of areas of F to B: (4)^2 = 16

Do the same for the other 3 pairs of triangles.

The answers are:

d. 1/9

e. 4/9

f. 9/16

The ratio of the areas is the square of the ratio of the lengths of the sides.

Let's find the ratio of areas one by one:

A. Triangles G and F

Select a side in triangle G and the corresponding side in triangle F:

Side in F= 10

Corresponding side in G= 5

The ratio of lengths of F to G = 10/5 = 2

The ratio of areas of G to F= (2)^2 = 4

B. Triangles G and B

Select a side in triangle G and the corresponding side in triangle B:

Side in G= 5

Corresponding side in B= 5/2

The ratio of lengths of B to G = (5/2)/5 = 1/2

The ratio of areas of B to G: (1/2)^2 = 1/4

C. Triangles B and F

Select a side in triangle B and the corresponding side in triangle F:

Side in B= 5/2

Corresponding side in F= 10

The ratio of lengths of F to B = 10/(5/2) = 4

The ratio of areas of F to B: (4)^2 = 16

D. Triangles F and H

Select a side in triangle F and the corresponding side in triangle H:

Side in F= 10

Corresponding side in H= 10/3

The ratio of lengths of H to F = (10/3)/10 = 1/3

The ratio of areas of H to F: (1/3)^2 = 1/9

E. Triangles G and H

Select a side in triangle G and the corresponding side in triangle H:

Side in G= 5

Corresponding side in H=10/3

The ratio of lengths of H to G = (10/3)/5 = 2/3

The ratio of areas of H to G: (2/3)^2 = 4/9

F. Triangles H and B

Select a side in triangle H and the corresponding side in triangle B:

Side in H=10/3

Corresponding side in B= 5/2

The ratio of lengths of B to H = (5/2)/(10/3) = 3/4

The ratio of areas of H to G: (3/4)^2 = 9/16

The final answers are:

a. 4

b. 1/4

c. 16

d. 1/9

e. 4/9

f. 9/16

To learn more about the ratio of areas,

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How many seconds did eatons baby sister sleep all together

Answers

the answer I do not know because I can not see the picture or word problem

Answer:

if said babysitter is watching my babies there better be zero seconds of sleeping so 0

An online math game gives one point for each correct answer and -1/2 point for each incorrect
answer.
Alice gets 6 correct answers and 2 incorrect answers.
Jasper gets 6 correct answers and 4 incorrect answers.
Alice has
---- more point(s) that Jasper.
1
two
three
four
one

Answers

One more point. 6(1)-2(-1/2) = 5. 6(1)-4(-1/2) = 4

2. Carlie graphed a line with a negative slope.
What must be true about the graph?
a. The graph decreases from left to right.
b. The graph increases from left to right.
c. The graph must cross (0,0).
d. The graph must be contained in Quadrants
III and IV.

Answers

Answer:

A. The graph decreases from left to right

Alyssa has 9 markers and 24 pencils what is the most numbers of kits she can make of each kit has the same number of items?

Answers

9 since she only has 9 markers

2/7 + 4/5 mixed forms

Answers

Answer:

38/35 or 1 3/35

Step-by-step explanation:

2/7 + 4/5 mixed forms

2/7 + 4/5 =

38/35 or 1 3/35

Answer:

38/35

Step-by-step explanation:

1. convert to like fractions

2/7-> 10/35

4/5-> 28/35

2. add fractions

10/35 + 28/35 = 38/35

-3(w+4)=4w-5
solve for w

Answers

Answer:

W = -1

Step-by-step explanation:

Plz answer
only do 9 question , step by step
Plz help , I will mark as brainilist

Answers

Answer:

[tex]2x + 3x = 180 \\ because \: they \: are \: o n \: one \: line \\ 5x = 180 \\ x = 180 \div 5 = 36[/tex]

Find m angleA
A. 10
B. 20
C. 16
D. 14

Answers

Find m angle A
B. 20 is correct

if u have a fun raiser and u need to make 100,000 but u have 63,482 what more do u need to add to get 100,00​

Answers

Answer:

36,518

Step-by-step explanation:

You can subtract 63,482 from 100,000 to get your answer.

100,000-63,482 = 36,518

Which expression is equivalent to √10/4√8?

Answers

Answer:

A

Step-by-step explanation:

A

Which expression represents, five times the quotient of two numbers?
A. 5+rt
B. 5%r/t
C. r/5t
D. 5(r/t)
PLZ HELP

Answers

Answer:

Five times the quotient of two numbers

5*( r/t)

Step-by-step explanation:

5 times the qoutient of 2 numbers is 5+rt

I've attached an image of the problem(s).

Answers

Answer: B

Step-by-step explanation:

7
Compare the fractions
3
64
8
A)
<
B)
C)

Answers

Answer:

74/8

Step-by-step explanation:

Answer:

LCM of 64 and 8 is 64

Step-by-step explanation:

i need step by step explaniton. judy has $3,024 dollars in her bank account she is planning to spend this money on buying tickets to disney world for her and 11 of her friends. two of judy's friends decided to help but the tickets and offered her $1,00 each. how munch did each ticket cost. (round the answer to the nearest whole number) this is a long divison problem.

Answers

Answer:

uhh judy has $3.024 in her bank acc

She is buying tickets for 11 friends and including herself too that means 12

Two friends decided help to buy the tickets and offered $100 each i.e $200

So I'm guessing that the cost price of one ticket is $100

Now than since 2 people paid their ticket cost than that means only 10 people left

Than for buying tickets for 10 people would cost (10×100=1000)

So I guess buying the tickets cost 1000 or if we add other two people's cost than that makes 1200

You have 100 coins worth $6.95. All of the coins are nickels and dimes. How many nickels and how many dimes do you have? Write a system that represents the situation. Estimate the solution using a graphing calculator.

Answers

Answer:

61 Nickels and 39 Dimes

Step-by-step explanation:

you have $3 and 5 cents in nickels and 3$ and 90 cents in Dimes

it all equals 100 coins all together

The number of dimes is 39 dimes

The number of nickels 61 nickels

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of dimes be = x

Let the number of nickels be = y

So , total number of coins = 100

x + y = 100   be equation (1)

And , the total amount = $ 6.95

The cost of one dime = $ 0.10

The cost of one nickel = $ 0.05

So , total cost = 0.10x + 0.05y = 6.95   be equation (2)

Now , on simplifying equation (1) and equation (2) , we get

x + y = 100

10x + 5y = 695   be equation (3)

Divide equation (3) by 5 , we get

2x + y = 139   be equation (4)

Now , Subtracting equation (1) from equation (4) , we get

x = 39

Therefore , the number of dimes is 39 dimes

Substituting the value of x in equation (1) , we get

x + y = 100

y + 39 = 100

Subtract 39 on both sides of the equation , we get

y = 61

Therefore , the number of nickels is 61 nickels

Hence ,

The number of dimes is 39 dimes

The number of nickels 61 nickels

To learn more about equations click :

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Shane wants to plant 28 marigold plants and 36 rose plants in his garden. What is the greatest number of rows possible if each row has the same number of marigold plants and the same number of rose plants.

Answers

Answer:

HCF=2*2=4

Step-by-step explanation:

Given :   Shane wants to plant 28 marigold plants and 36 rose plants in his garden  

To Find :  the greatest number of rows possible  each row has the same

number of marigold plants and the same number of rose plants.​

Solution:

marigold plants  = 28

rose plants = 36

To find  the greatest number of rows possible  if each row has the same

number of marigold plants and the same number of rose plants.​

we need to find HCF of 28 and 36

28 = 2 x 2 x 7

36 = 2 x 2 x 3 x 3

HCF = 2 x 2  = 4

greatest number of rows possible  is 4

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5. On a school trip, 56   and 98  went to Kanyakumari. They ...

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If the HCF of (p²-p-6) and (p²+3p-18) is (p-a). Find the value of a ...

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