How to factor 3x³+3x²-36

Answers

Answer 1

Answer:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Step-by-step explanation:

Firstly, divide all parts of the equation by 3:

[tex]3x^3 + 3x^2-36[/tex]

[tex]3(x^3 + x^2-12)[/tex]

Now focus on the equation:

[tex]x^3 + x^2-12[/tex]

We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:

1 12

2 6

3 4

1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:

[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]

We can confirm this is simplified by multiplying together:

[tex](x - 2) (x^2 + 3x + 6)[/tex]

[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]

= [tex]x^3 + x^2 - 12[/tex]

Meaning it is simplified.

Now, put the equations together:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Hope this helps!


Related Questions

11 over 8 as decimal

Answers

Answer:

[tex] \frac{11}{8} = 1.375[/tex]

Can someone answer this please I need it ASAP

Answers

Answer:

Frank scored 10 runs

B) the mean is 20

Step-by-step explanation:

Your friend identifies the terms and like terms in the expression
3x - 5 - 2x + 9x
is your friend correct?
explain your reasoning :

Answers

Answer:

The like-terms equation would be:

10x - 5

Step-by-step explanation:

What is the rate of change for 1

Answers

Step-by-step explanation:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. The rate of change is 401 or 40 . This means a vehicle is traveling at a rate of 40 miles per hour.

Use the distributive property.
4(5x + 3y – 7) = 20x + 12y + [?

Having a hard time with the last one.

Answers

Answer:

-28

Step-by-step explanation:

20x+12y-28=20x+12y+[?

subtract like term so 20x-20x and 12y-12y

therefore -28 =[?

SHOW THE GRAPH AS WELL PLEASE
Plot the x- and y-intercepts to graph the equation. y=−12x−3

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x To find the y-intercept, substitute in  0  for  x and solve for  y .

x-intercept(s):  ( − 6 , 0 )

y-intercept(s):  ( 0 , − 3 )

Use the slope-intercept form  y = m x + b to find the slope  m .

Slope: [tex]m = -\frac{1}{2}[/tex]

Graph in pic

(Credits: Symbolab)

Answer:

pls help

Step-by-step explanation:

Draw a Graph y=3/2x+2

Answers

The answer is in the graph.

Answer:in the picture

Step-by-step explanation:

please give me a brainliest answer

What is 6(x+4) 1 hehe

Answers

Answer:

2

Step-by-step explanation:

two plus four equals six

Can someone please hurry and finish this question please!!!! Will give brainliest

Answers

Answer:

2b. R line is lower.

2c. It is lower because the y-intercept is negative.

Answer: ill take one for you john

Step-by-step explanation:

If there are 6 $5 bills how many 10$bills are there?

Answers

Answer:

3

Step-by-step explanation:

6*5=30

30/10=3

Answer:

3

Step-by-step explanation:

6 * 5 = 30

Then, 30 / 10 = 3

If a sum invested gains 10% each year how long will it be before it has doubled its
value?

Answers

Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.

The equation for an increasing exponential function is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial amount.r is the growth rate, as a decimal.

In this problem:

Gains 10% each year, thus [tex]r = 0.1[/tex].

The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:

[tex]A(t) = A(0)(1.1)^t[/tex]

[tex]2A(0) = A(0)(1.1)^t[/tex]

[tex](1.1)^t = 2[/tex]

[tex]\log{(1.1)^t} = \log{2}[/tex]

[tex]t\log{1.1} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]

[tex]t = 7.3[/tex]

It will be 7.3 years before the value is doubled.

A similar problem is given at https://brainly.com/question/23008760

Briarwood middle school chess club has 40 members 14 of the members are in seventh grade what percent of the members of the chess club in seventh grade

Answers

Answer:

i got you

Step-by-step explanation:

40% because it is

solve pls brainliest

Answers

91/25, 3.92, 3.928, 2 13/20

im pretty sure this is correct AND IM RLY SRY IF IT ISN’T

Nick walked ¾ of a mile in 12 minutes. At the same pace, how far could he walk in 48 minutes?

Answers

Answer:

3 miles

Step-by-step explanation:

To get from 12 to 48 we can multiply by 4. So if we multiply 3/4 by 4 we would get the number of miles:

3/4 × 4 is the same as 3/4 × 4/1 which is 12/4 or 3

He could walk 3 miles in 48 minutes.

Hope this helps!

What is the answer??? I need help fast pls

Answers

Answer:

x = 9

Step-by-step explanation:

Vertical angles are congruent ( equal to each other )

So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )

If ∠A = 2x + 1 and ∠B = x + 10

Then 2x + 1 must equal x + 10

( note that we've just created an equation that we can use to solve for x )

We now solve for x using the equation we just created

2x + 1 = x + 10

Subtract x from both sides

x + 1 = 10

subtract 1 from both sides

x = 9

In the diagram, lines BC and DE are parallel.
What is the measure of Zx?

Answers

180-42-109=29
Thats all
Make me the bairnlieat

The sum of three numbers is 99. The third number is 3 times the first . The second number is 9 more than the first. What are the numbers?

Answers

Answer: This can be written as x + (x-9) + 3(x-9) = 99

5x - 36 = 99

5x = 135

x = 135/5 = 27

You can now just plug in the value of x for each of the initial terms to get:

n1 = 27

n2 = 18

n3 = 54

Step-by-step explanation:

Question 7
Maya, Tom, and Greg sent a total of 153 text messages over their cell phones during the weekend, Greg sent 9 fewer messages than Maya,
Tom sent 4 times as many messages as Greg, How many messages did they each send?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The messages sent by them are ~

Maya = 33 messages

Greg = 24 messages

Tom = 96 messages

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let the number of messages sent by Maya be x,

messages sent by Greg = x - 9

messages sent by Tom = 4(x - 9)

and, total number of messages sent by them all together is equal to ~ 153

that is ~

[tex]x + x - 9 + 4(x - 9) = 153[/tex]

[tex]2x - 9 + 4x - 36 = 153[/tex]

[tex]6x - 45 = 153[/tex]

[tex]6x = 153 + 45[/tex]

[tex]6x = 198[/tex]

[tex]x = 198 \div 6[/tex]

[tex]x = 3 3[/tex]

Hence, the messages sent by them are ~

Maya = x = 33

Greg = x - 9 = 33 - 9 = 24

Tom = 4(x - 9) = 4 × 24 = 96

Let Maya send m

Greg send m-9

Tom sent 4(m-9)

ATQ

m+m-9+4(m-9)=1532m-9+4m-36=1536m-45=1536m=153+456m=198m=33

Greg=33-9=24

Tom=4(24)=96

a worker uses 45 inches of steel to make 300 nuts of the same size how many inches of steel wire will be needed to make one such nut?

Answers

Answer:

about 6.66666 inches

Step-by-step explanation:

It says you're in college why do you need help with such a simple problem?

house is between his school and the library, witch are one mile apart on the same street. A mile is 5280 feet. After school Nick walks 3195 feet to his house. How many more feet does he need to walk to get to the library? Explain

Answers

Answer:

2085 feet

Step-by-step explanation:

If the library and school are one mile apart and his house is in the middle then after he walks to his house he only has 2085 feet left to walk.

He need to walk 2085 more miles to get to the library

Helppppppppppppp please

Answers

Answer:

1.45 x 10^2

Step-by-step explanation:

In scientific notation, you get the number down to 1 digit before the decimal place and all the rest after it, then multiply by 10 raised to a power in order to get it back to the original. An easy way to do it is to count the number of times you moved the decimal and remember which direction you did it. The number is the power (in this case 2) and the direction tells you if it's positive or negative (in this case it was to the left, so it's positive two.)

In simpler terms, slide the decimal to the right two places and make it 1.45, then multiply it by 10^2 (which is 100) to make it equal to 145. This leaves you with 1.45 x 10^2.

Answer: 1.45 x 10^2


when making a whole number a decimal, the decimal is at the end of the number so you move it to make it have just one whole number. Then the times you moved the decimal forward is how many exponents you write in top
(Might sound confusing)

x(x+6)=-8 quadratic equation

Answers

Answer:

x=-2 or x=-6

Step-by-step explanation:

x^2+6x+8=0

(x+2) (x+6)=0

x=-2 or x=-6

p=(m+n)/-5 solve for n

Answers

n= -5p - m

dis is 20 characterrs now

5551-525152+62626626×552526
solve it.​

Answers

Answer:

=34602838637675

Step-by-step explanation:

=−519601+(62626626)(552526)

=−519601+34602839157276

=34602838637675

Solve the equation 3x2 +5=4x

Answers

Step-by-step explanation:

the roots are complex

the answer is in the image above

Does anybody know this question

Answers

Answer:

13h

Step-by-step explanation:

A = LW

A = 13 cm * h cm

A = 13h cm^2

We know that two sides of the rectangle are 13cm. To find the area, we need to find h. It looks like h is 1/3 of the longer side, so 13 divided by 1/3 is 4.3. 13 times 4.3 is 55.9cm. I hope this helps!

The Blazers hockey team has won 5 of its first 12 games. No game was tied. The Rockets’ record is 5 wins and 3 losses. Which team has the better record?
help please

Answers

Answer:

The Rockets' team has the better record.

Step-by-step explanation:

The Blazers hockey team has played 12 games but they won only 7 out of the 12 games, so that means that they loss the other 5 games. So that makes the Blazers record 7 wins and 5 losses.

The Rockets' team has played 8 games but they won only 5 out of the 8 games, so that means that they loss the other 3 games. So that makes the Rockets' record 5 wins and 3 losses.

So, the Rockets' team has the better record because they loss less games than the Blazers team did.

helppppppppppppppppppppppppppppppppppppp

Answers

the answer is 4 because divide 9 by 12 get 0.75 and multiple it by 4 and get 3
so you can buy 4 bottles for 3 bucks

Janice Went to five different stores in the mall, she spent an average of $30 at each store. After visiting just the first four stores she had spent $100, how much was she have spent at the last store based on her overall average?

A.$25
B.$30
C.$50
D.$70

Answers

Based on Janice average, she spent $50 at the last store.

Let a, b, c, d, e represent the money spent on the five stores respectively.

Since she spent an average of $30 at each store, hence:

(a + b + c + d + e) / 5 = 30

(a + b + c + d + e) = 150

She spent $100 on the first four stores, hence:

a + b + c + d = 100

(a + b + c + d + e) = 150

100 + e = 150

e = 50

Hence based on Janice average, she spent $50 at the last store.

Find out more at: brainly.com

Simplify the following expression:
За2 + 2а – 2а? - а

Answers

Answer:

3a^2

Step-by-step explanation:

2a-2a is equivalent to 0 there by making 3a^2 remaining

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