Factor-8x^3-2x^2-12x-3 by grouping

Answers

Answer 1

Answer:

[tex]=-\left(4x+1\right)\left(2x^2+3\right)[/tex]

Step-by-step explanation:

[tex]-8x^3-2x^2-12x-3\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(8x^3+2x^2+12x+3\right)\\\mathrm{Factor}\:8x^3+2x^2+12x+3:\quad \left(4x+1\right)\left(2x^2+3\right)\\8x^3+2x^2+12x+3\\=\left(8x^3+2x^2\right)+\left(12x+3\right)\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}12x+3\mathrm{:\quad }3\left(4x+1\right)\\12x+3\\\mathrm{Rewrite\:}12\mathrm{\:as\:}3\cdot \:4\\=3\cdot \:4x+3\\\mathrm{Factor\:out\:common\:term\:}3\\=3\left(4x+1\right)[/tex]

[tex]\mathrm{Factor\:out\:}2x^2\mathrm{\:from\:}8x^3+2x^2\mathrm{:\quad }2x^2\left(4x+1\right)\\8x^3+2x^2\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\=8xx^2+2x^2\\\mathrm{Rewrite\:}8\mathrm{\:as\:}2\cdot \:4\\=2\cdot \:4xx^2+2x^2\\\mathrm{Factor\:out\:common\:term\:}2x^2\\=2x^2\left(4x+1\right)\\=3\left(4x+1\right)+2x^2\left(4x+1\right)\\\mathrm{Factor\:out\:common\:term\:}4x+1\\=\left(4x+1\right)\left(2x^2+3\right)\\=-\left(4x+1\right)\left(2x^2+3\right)[/tex]


Related Questions

Which expression is equivalent to (9x + 5y)²?
a) 9x² + 45xy + 5y²
b) 18x² + 45xy + 10y²
c) 45x² + 45xy + 45y²
d) 81x² + 90xy + 25y²
e) 0

Answers

D is the correct answer.

If you don’t understand how then plz don’t hesitate to ask me in the comments.

The two-way frequency table below shows data on mindset and attendance at practice for students in Mateus's study.

Complete the following two-way table of row relative frequencies.
(If necessary, round your answers to the nearest hundredth.)


Answers

The two-way frequency table is completed using the rule of division which is shown below.

[tex]\begin{matrix} &\rm Growth \ mindset &\rm Fixed \ mindset &\rm Raw \ total\\\\\rm Attended \ every\ practice &0.7 &0.3 &1\\\\\rm Missed\ at\ least\ 1\ practice & 0.1343 &0.8657 &1\end{matrix}[/tex]

What is the two-way frequency?

Two-way frequency tables demonstrate the potential relationship between two pairs of categorical data visually. The frequency (count) information appears in the four (or more) interior cells of the table, with the categories designated at the top and left sides.

The two-way frequency table is completed below.

[tex]\begin{matrix} &\rm Growth \ mindset &\rm Fixed \ mindset &\rm Raw \ total\\\\\rm Attended \ every\ practice &0.7 &0.3 &1\\\\\rm Missed\ at\ least\ 1\ practice & 0.1343 &0.8657 &1\end{matrix}[/tex]

More about the two-way frequency link is given below.

https://brainly.com/question/26130888

Answer:

Step-by-step explanation:

0.7       0.3

0.13      0.87

License plates in Ontario have four letters (A-2) followed by three numbers (0-9). Letters and numbers can be repeated.
How many different license plates could be made?
676,000
480,835,200
4,569,760,000
26,000

Answers

Answer:

456976000

Step-by-step explanation:

There are 26 letters and 10 digits

4 letter then 3 numbers

26*26*26*26*10*10*10

456976000


Keisha solved the following equation:

4x − 2x + 8 = 6(x + 4)


Step Work Justification
1 2x + 8 = 6(x + 4) Combine like terms
2 2x + 8 = 6x + 24 Associative Property of Multiplication
3 −4x + 8 = 24 Subtraction Property of Equality
4 −4x = 16 Subtraction Property of Equality
5 x = −4 Division Property of Equality
Which step has an incorrect justification?

A: 1
B: 2
C:3
D: 5

Answers

Answer:

No 4 I think not to sure tho

Answer:

The Second One

Step-by-step explanation:

It's Supposed to be distributive Property because it's distributing the

6 into x and 4

it includes multiplication in this process so it might be confusing

Hope this helps

Can I have brainlist?

Please help me

What is the sum of the series?
Enter your answer in the box.

Answers

Answer:

the sum of the series is 365 is my answer

What is the last step when finding the area of a compound shape?

Answers

Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.

Samuel is x year old and
two years older than
his wife. What will be
the sum
Sum of their age
ton
years time​

Answers

Answer:

Samuel : x

wife : y

sum of their age : 2+ x : 10

evaluated 5x - (x + 3)2 for x = 2, 

Answers

Answer:

0

Step-by-step explanation:

5x - (x+3)2

5x - (2x+6)

5x - 2x -6

3x - 6

3(2) - 6

6 - 6

0

Marquis has 7 cups of yogurt. He gives his sister 3 3
5 cups of the yogurt, how much of
Marquis’s yogurt remains?

Answers

Answer:

He has 3,65 cups of yogurt left.

Step-by-step explanation:

7 - 3,35 = 3,65

Simplify 5x+3x+2y+4y halp

Answers

Answer:

8x+6y

Step-by-step explanation:

5x+3x+2y+4y

5x+3x= 8x

2y+4y= 6y

The simplified the expression is 2(4x+ 3y).

What is expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

5x+3x+2y+4y

Now, moving the like terms aside

As, 5x + 3x are one pair

and, 2y+ 4y is second like term pair

So, 5x+3x+2y+4y

= (5x+ 3x) + (2y+ 4y)

= x(5 +3)+ y (2+4)

= x(8)+ y(6)

= 8x+ 6y

= 2(4x+ 3y)

Hence, the simplified the expression is 2(4x+ 3y).

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ6

Find the surface area

Answers

Answer:

401.92

Step-by-step explanation:

Bases: 2(4^2 π)=32π

Curved Surface: 12*(2*4π)=96π

96π+32π=128π=128(3.14)≈401.92

TheSolution to the equation is ??

Answers

Answer:

X = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

2x^2 + x - 3 = 0

2x^2 + 3x -2x - 3 = 0

x(2x+3) -1 ( 2x+3) = 0

(x-1) (2x+3) = 0

x-1=0

x=1

2x+3=0

2x=-3

x=-3/2.

Help me quickly I will give brainliest answer to who does it first, look at picture

Answers

Answer:

V = 54 π units³

OR

V = 169.6 units³

Step-by-step explanation:

Volume of a cylinder = [tex]\pi r^2 h[/tex]

V = (3.14)(3)²(6)

V = (3.14)(54)

V = 54 π units³

OR

V = 169.6 units³

Amanda puts $1800 into an account that does not earn any interest. Every
month after that, she deposits the same amount of money. This sequence
represents her account balance for the first few months:
$1800, $2000, $2200,...
What is the explicit formula for the amount of money in her account at the
beginning of month n?

Answers

Answer:

a(n)=1800+(n-1)200

Step-by-step explanation

The usual formual is an=a1+d(n−1)

a1=The first number is the number you would start on

so 1800=a1

n=the number of times you would do it

you would usually put n-1 because the first number is already been put though the formula

d=the amount of change between each number

so 200=d

A(n)= a of n, like f(n) means f of n

so that why it is a(n)=1800+(n-1)200

i also got it right on A.pex

Use the distributive property to remove the parentheses. Simplify your answer as much as possible.

Answers

10x^3(8x^3+3x)

([10x^3 x 8x^3]+ [10x^3 x 3x])

80x^6+ 30x^4

•this is as simplified as it gets; it isn’t possible to add or subtract numbers with different exponents.

please vote brainliest if it helped you and have a great day! :)

Suppose you observe the number of passengers arriving at a metro station on a shuttle bus that holds up to 8 passengers. Describe the sample space.

Answers

Answer:

Sample space can be describes as:

S = {0,1,2,3,4,5,6,7,8}

Step-by-step explanation:

Usually used in probability questions, a sample space is defined as a set of collection of all possible outcomes. It is the list of all possible results.

Sample spaces are usually written using set notation, where each possible outcome is listed only once within curly bracket.

S = {outcome 1, outcome 2, ..........}

As it is given the a bus can hold up to 8 passengers. We need to find the sample space of to number of passengers actually riding the bus.

So the minimum numbers of passengers is 0

The maximum numbers of passengers is 8

So the numbers of passengers lies between 0 and 8.

Simplify the question in the picture

Answers

3^5*3^4=3^5*4=3^9
Which means that B is the answer

Answer:

B.3^9

Step-by-step explanation:

3^5•3^4=3^5+4=3^9

Write as an algebraic expression

Answers

Answer:

18.) 10x

20.) k - 24

22.) 12 - 9

Step-by-step explanation:

-8÷+12×9-4×6÷56÷7×2​

Answers

Answer:

[tex] \frac{ - 300}{49} [/tex]

or -6.122

Step-by-step explanation:

In answering this kind of questions, you must take note of BODMAS. that is;

B - Bracket

O - Of (multiplication)

D - Division

M - Multiplication

A - Addition

S - Subtraction

and you have to answer by the order above to get the correct answer. thank you

hope it helps .

Answer:

-6 176/189

Step-by-step explanation:

-8÷+12×9-4×6÷56÷7×2​=

-8÷108- 24÷56÷14=

-2/27-24×14÷56=

-2/27- 48/7=

-7 + 1/7- 2/27=

-7 + (27-14)/27*7=

-7+ 13/189=

-6 176/189

√10·√8 is this equal to the √80?

Answers

Answer: yes

Step-by-step explanation:

They are both equal to 4/5

El que responda bien 5 estrellas y un gracias 7u7

Answers

Answer: AB=12

Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4

Luego AB = AE+EB = 4+8 = 12

how would i answer this?

Answers

Answer:

Option (B).

Step-by-step explanation:

Option (a). {(1, 2), (3, 4), (4, 5), (6, 7)}

Since in every ordered pair value of x corresponds a distinct value of y.

The given ordered pairs represent one-to-one function.

Option (b). {(0, 3), (1, 5), (3, 9), (1, 13)}

In the ordered pairs (1, 5) and (1, 13) value of x correspond to the two different values of y.

Therefore, its not a function.

Option (c). {(-2, 2), (-3, 3), (-4, -4), (-5, -5)}

For every value of x there is distinct value of y.

Therefore, given set of ordered pairs represent a one to one function.

Option (d). {(1, 2), (2, 2), (3, 5), (4, 8)}

Ordered pairs represent a function.

Option (B), will be the answer.

Write the equation of the line that passes through the point (8, -2) and whose slope is 1/4

Answers

Step-by-step explanation:

y + 2 = 1/4(x - 8)

y +2 =1/4x - 2

y = 1/4x - 4

A baker uses 34 cup of honey in one of his cakes. There are 60 calories in 18 cup of honey.How many calories are in 34 cup of honey?

Answers

Answer: 3/4 = 6/8

so u need 60*6, so

c=60*6 ?

c meaning calories

Answer:

How many calories are in 3/4 cup of honey? = 60/ 1/8*3/4

How many cups of honey will the baker use for 15 cakes? = 3/4*15

How many cakes could the baker make if he has 78 cup of honey? =  7/8 divided by 3/4.

Step-by-step explanation:

Promise this is tried and tested

express in the form 1:n 5:15

Answers

Answer: n = 3

Step-by-step explanation:

You could treat these two ratios as fractions

[tex]\frac{1}{n} =\frac{5}{15}[/tex]

There are multiple ways in which you can do this, but Im going to teach you the most reliable way. Do cross multiplication by multiplying each side by the others denominators. 15 x 1 and n x 5 to get:

5n = 15

Divide each side by 5 to get n = 3

Help me for 5 points

Answers

Answer:

12

Step-by-step explanation:

[tex]-3\sqrt{16(4)}+2\sqrt{4(9)^2}=\\\\-3\sqrt{64}+2\sqrt{324}=\\\\-3(8)+2(18)=\\\\-24+36=\\\\12[/tex]

Hope this helps!

12(3x)=12 what does x equal

Answers

Answer:

x=0.333

Step-by-step explanation:

12(3x)=12

36x=12

/36 on both sides

x=0.333

I need help please help me

Answers

Answer:

SSS

Step-by-step explanation:

ST = YA, SY = TA Given

AS = SA Reflexive property

ΔSTA ≅ ΔAYS SSS

According to the vertical line test, is the equation x=y^2 a function?

Answers

Answer:

No it is not a function

Step-by-step explanation:

What is the slope of the equation Y=2x-?
o -7

Answers

Answer:

m = 2

Step-by-step explanation:

Your function Y=2x- is not properly formed.  However, y = 2x carries enough information to enable you to determine the slope of the graph of your function:  It is m = 2.

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