What is the factored form of this expression x^3+3x^2-6x-18

Answers

Answer 1

Answer:

(x + 3) (x^2 - 6)

Step-by-step explanation:

Factor the following:

x^3 + 3 x^2 - 6 x - 18

Factor terms by grouping. x^3 + 3 x^2 - 6 x - 18 = (x^3 + 3 x^2) + (-6 x - 18) = x^2 (x + 3) - 6 (x + 3):

x^2 (x + 3) - 6 (x + 3)

Factor x + 3 from x^2 (x + 3) - 6 (x + 3):

Answer: (x + 3) (x^2 - 6)


Related Questions

if 6x=9y find the value of x:y.​

Answers

Answer:

A complete angle is one which measures 360∘360∘.

The three angles

6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘

add up to 360∘360∘, as per the question.

6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘

⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘

⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘

⟹2x+3y+z=90∘⟹2x+3y+z=90∘

This is the required relation.

The velocity, V, of a specific object being dropped from a particular height, h, can be found by the radical function V equals the square root of the quantity 2 times h times a end quantity where a represents the acceleration in ft/sec2. If the acceleration due to gravity is 32.2 ft/sec2, at what height should you drop an object in order for it to have a velocity of 70 ft/sec?

Answers

Answer:

20.3 ft/sec

Step-by-step explanation:

Answer:

76.1

Step-by-step explanation:

I don’t know I forgot to show my work but I got it right lol

AB = 2x – 17, AC = 14, and BC = x + 1.
Find x.

Answers

9514 1404 393

Answer:

x = 10AB = 3BC = 11

Step-by-step explanation:

If B lies between A and C on a line segment, then ...

  AB +BC = AC

  (2x -17) +(x +1) = 14

  3x = 30 . . . . . . . . . . . . . add 16, collect terms

  x = 10 . . . . . . . . . . . divide by 3

  AB = 2(10)-17 = 3

 BC = 10+1 = 11


HELP!! WILL MARK AS BRAINLIEST!!!

On an airplane, the passengers may have chicken, vegetable or tomato soup
Half of the passengers choose chicken soup
A third of the passengers choose tomato soup.
(a) What fraction of the passengers choose vegetable soup?
There are 240 passengers on the airplane.
(b) How many passengers choose vegetable soup?

Answers

Answer:

1/6 and 40

Step-by-step explanation:

for 1/6 you can get the answer by getting 1/2 chicken = 3/6 then 1/3 tomato soup = 2/6 and you have 1/6 left which will be the answer.

For the number of people, 1/6 is equal to 40 because 240 divided by 6 equals 40

(- 40 + 8) x (- 6) – 24

Answers

Answer:

168

Step-by-step explanation:

(-40+8)×(-6)-24

=(-32)×(-6)-24

=192-24

=168

Answer:

168

Step-by-step explanation:

(-40+8)×(-6)-24

=(-32)×(-6)-24

=192-24

=168

Adjacent sides of Figure 1 are perpendicular. Four sides of Figure 1 are removed to form Figure 2. What is the total length, in units, of the segments in Figure 2?

Answers

Answer:

19

Step-by-step explanation:

Here ( left and right) side 8 and 6 are same in both

in fig 1 base side is 1 +2 + 1 =4

so in figure 2 it will be also 4

and at last only 1 unit in fig 1 ( upside) is taken in figure 2

so total addition is...

8 + 6 + 4 + 1

= 19

MARK AS BRAINLIST IF IT IS USEFUL

There are 5 x 10^3 workers in the shop, and each worker can
fill 6.2 crates with fruit every day. What is total number of crates
filled by the workers each day?
Answer using whole numbers such as 230000 or use scientific
notation in the format 2.3*10^5.

Answers

Answer:

31000 or 31 × 10^3

6.2 (5× 10^3)

find the slope of the line that is perpendicular to the line graphed in the figure​

Answers

Answer:

- [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = [tex]\frac{1-(-4)}{1-0}[/tex] = [tex]\frac{1+4}{1}[/tex] = 5

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

Five dollars less than two times Chris pay is at most 124

Answers

Answer:

2p - 5 ≤ 124.

Step-by-step explanation:

If Chis's pay is p then it is:

2p - 5 ≤ 124.

You buy 8 books for $44. Paperbacks are $4 and hardbacks are $8. How many of each type can you buy?

Answers

She purchased 5 paperbacks at $4 and 3 hardbacks at $8 for a total of $44.

h = number of hardback books
p = number of paperback books
h + p = 8
so
h = 8-p
.
4*p = price of paperbacks
8*h = price of hardbacks
4*p + 8*h = 44
.
substitute h = 8-p
.
4p + 8(8-p) = 44
4p +64 -8p = 44
-4p = -20
p = 5
h = 8-p
h = 3
.
check to be sure the values are right
4*5 = 20
3*8 = 24
20 +24 = 44

Use the numbers on the conveyer belt to complete the equation
18 x ————- = 9 x————-

Answers

Step-by-step explanation:

I think...

18×9=9×18

hope it helps

On Tuesday, Leslie spent 47 minutes on math homework, 39 minutes on science homework, 52 minutes on English homework, and 44 minutes on history homework. How much time did Leslie spend doing her homework on Tuesday?

Answers

Answer:182

Step-by-step explanation:

47+39+52+44 = 182

Answer:

Step-by-step explanation:

Time spend on doing homework = 47 + 39 + 52 + 44 = 182 minutes

                 = 182 ÷ 60 = 3 hours 2 minutes

Help please and please explain how I don’t understand

Answers

Use Pythagoras
x^2 = 6^2 + 12^2 = 36 + 144 = 180
x = sr(180) = 13.42 in (4 s.f.)

the degree of the polynomial -5 + 3x^6 + 2x^5 + 6x^3 is

Answers

Answer:

6

Step-by-step explanation:

As the highest power of x in the expression is 6, the degree is 6

Answer:

3x6+2x5+6x3−5

Standard Form

Step-by-step explanation:

HAVE A BLESS DAY :D

5 +4.2 + 5 – 2. 2 - 1​

Answers

14.2 - 2.2 - 1
12 -1
11

Hope this helps

Answer:

11

Step-by-step explanation:

You would add 5 + 4.2 + 5 - 2.2 - 1 in a calculator and it would come out to be 11.

The sum of 6 and x
x + 4
6/x
X+ 6
6x

Answers

Answer:

x + 6

Step-by-step explanation:

Sum means to add the 2 terms , so

x + 6 ← represents the sum of 6 and x

What is the length of CA?

Select the best answer from the choices provided.
A4.5
B. 4.5v2
C.9
D.9v2

Answers

it should be D because everything else is smaller than BA

A line passes through the points (1, 7) and (0, 3). What is its equation in slope-intercept form?

Answers

Answer:

y=4x-12

Step-by-step explanation:

The slope of the line is (7-3)/(1-0)=4. The equation of the line is y=4x-12

Find the perimeter of the semicircular region.

Answers

Answer:

25.708 yd

Step-by-step explanation:

Perimeter of semicircle = πr + d = 5 * π + 10 yd ≈ 25.708 yd

Perimeter of a semicircle: 2πr÷2+d
2×π×5÷2+10=5π+10≈25.70796

Hope my answer helped u :)

Add the following (-3) and(-5) using number line.​

Answers

Answer:

hope it will help you. ans is -8

Step-by-step explanation:

SOLUTION

Starting at zero on the number line facing positive direction and move 3 steps backward reaching -3.

-9-8

-6-5-4-3-2-1

0

Then we move 5 steps backward to represent -5 and reach -8.

(-3) + (-5) = -8

1. Dividing thirty by one more than an integer is the same as dividing twenty-four by one less
than the integer. Find the integer algebraically using rational expressions.

Answers

Answer:

9

Step-by-step explanation:

Let the integer be n

According to the text

30 / (n + 1) = 24 / (n-1)

Cross multiply we have

30 (n -1) = 24 (n + 1)

30 n - 30 = 24 n +24

30n -24n = 30 + 24

6n = 54

n = 9.

So the integer is 9.

2x+1<9
Compound inequality

Answers

Answer:

x < 4

Step-by-step explanation:

2x+1<9

Subtract 1 from each side

2x+1-1<9-1

2x< 8

Divide by 2

2x/2 <8/2

x < 4

The correct answer would be x<4

Which one describes the algebraic expression for the phrase, "the sum of a number and its square"?
n + n2
n + 2
2n
n + 2n

Answers

The answer is n + n^2
the first one.
the sum of the number and its square is basically saying add one number to itself swuare rooted. number represented as 'n', is shown twice in the equation because its being added to itself. then throw the square on to it and get the first one as your answer.
please give me brainliest im so close to the bext rank

Help me bro like this is difficult

Answers

The answer is B I think

Which of the functions graphed below is continuous?

Answers

Answer:

The answer is the second one

Answer: B

Step-by-step explanation: The answer is the second graph

why is .21 repeating a rational number

Answers

Answer:

The answer to this question is because any repeating decimal can be a ratio of two integers or numbers.

Step-by-step explanation:

Hope this helps! And have a good day.

Evaluate –3² + (2 – 6)(10).

Answers

Answer:

-49

Step-by-step explanation:

can anyone help with this 20÷(4-(10-8)​

Answers

Answer:

10

Step-by-step explanation:

20/(4-10+8) = 0

20/(8-6) = 0

20/2 = 0

10 = 0

Answer:

10

Step-by-step explanation:

20÷(4-(10-8))

20÷(4-2)

20÷2

10

Hope its help you

Rowena sells a dress for $42.60 after making a profit of 20% on the cost price.
Calculate the cost price.
20

$ ...................................................

Answers

Answer:

$35.50

Step-by-step explanation:

With a 20% profit then $42.60 represents 120%

We require to find the cost price represented by 100%

Divide the amount by 120 to find 1% then multiply by 100, that is

cost price = [tex]\frac{46.60}{120}[/tex] × 100 = $35.50

Which graph represents the solution set to the system of inequalities?
p.s. i didn't mean to click that answer

Answers

Answer:

A (the firs one)

Step-by-step explanation:

Intersecting at (-3, 3)

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