What is the complete factorization of the polynomial below?

What Is The Complete Factorization Of The Polynomial Below?

Answers

Answer 1

Answer:

(x - 1)(x + 1)(x + 3).

Step-by-step explanation:

x^3 + 3x^2 - x - 3            Factor by grouping:

= x^2(x + 3) - 1(x + 3)       x+3 is common .

= (x^2 - 1)(x + 3)                x^2 - 1 is the difference of 2 squares.

= (x - 1)(x + 1)(x + 3).


Related Questions

d. x= -1 and y = -1
Is it perpendicular, neither, of parallel. Show work

Answers

Perpendicular.

x = -1 is a vertical line intersecting the x-axis at (-1, 0).

y = -1 is a horizontal line intersecting the y-axis at (0, -1).

Because these lines are both straight, they will eventually intersect at (-1, -1). They will also form 90° angles, the definition of perpendicular.

Put the following equation of a line into slope-intercept form, simplifying all fractions.

3x + 6y =-24

Answers

3x + 6y = -24

first you would start by subtracting 3x from both sides which would give you
6y = -3x - 24

then you divide everything by 6 and you’re left with
y = -1/2 - 4

8x + 2+ 4y; x = 9, y = 2

Answers

Answer: 82

Step-by-step explanation:

We simply need to substitute the values for x and y into the equation

Both variables are already given to us, x=9, y=2

8(9)+2+4(2)

72+2+8

82

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22. What kind of compound inequality is 1-4x<21 and 5x+2>22?
A) intersection
B) union


20. Which is NOT a function?
A) x+y=3^2
B) x+3=y^2
C) y=x+3^2
D) y=x^2-3

ALSO if you have a kind heart (and want more points) i need help on this one https://brainly.com/question/17322049

Answers

Answer:

22.B) union

20.A) x+y=3^2

Step-by-step explanation:

22. The compound inequality [tex]1-4x < 21[/tex] and [tex]5x+2 > 22[/tex] is intersection, option A is correct.

21.  [tex]x+y=3^2[/tex]  is not a function. Option A is correct.

22. The compound inequality [tex]1-4x < 21[/tex] and [tex]5x+2 > 22[/tex] is an example of a compound inequality involving "and."

Both inequalities need to be satisfied simultaneously for the compound inequality to be true.

Hence, the  compound inequality is intersection.

21.  A function is a relationship between two variables in which each input value (x) corresponds to exactly one output value (y).

In this case, the equation [tex]x+y=3^2[/tex] does not represent a clear relationship between x and y.

[tex]x+y=3^2[/tex] represents a curve in the xy-plane rather than a function.

Hence,  [tex]x+y=3^2[/tex]  is not a function.

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Please help me on this question :(

Answers

Answer: The filled out table is shown below

The main table is at the top. This is what it would look like if you filled out your blank boxes. The second section below shows scratch work to help form the more complicated columns.

=========================================================

Explanation:

We have two atomic variables p and q. They can each take on values of True (T) or False (F).

There are 2*2 = 4 combinations of T and F as shown below

T,T ... both trueT,F ... p is true but q is falseF,T ... p is false, but q is trueF,F ... both are false

That takes care of the first two columns of the table. Note how there aren't any other ways to have two truth values together.

The third column ~q is where we flip everything in the q column. So if q is true, then ~q is false, and vice versa. A similar situation happens with the ~p column as well.

The ~p v q column is where we apply a disjunction to ~p with q. The V stands for "or". It means either ~p is true or q is true. If either are true, then (~p v q) is true. Otherwise it's false. Put another way, (~p v q) is only false when both ~p and q are false together.

The last column is the entire expression ~q ^ (~p v q). We apply a conjunction to the ~q column and the (~p v q) column. Both expressions must be true for the entire ~q ^ (~p v q) to be true, otherwise it's false.

Let me know if you have any questions. It's probably tricky to wrap your head around at first, but hopefully the table clears things up.

The scratch work section is to show how the fifth and sixth columns are formed.

Which mathematical symbol would best fill in the blank to compare the two real numbers? (4 points) 7.6 repeating blank square root 55

Answers

Answer:

sq55 < 7.6 repeating

Step-by-step explanation:

The square root of 55 is 7.4161984, which is less than 7.66666

Answer:

im pretty sure its sq55 < 7.6 repeating

Step-by-step explanation:

A monitor with dimension ratio of 16:9 is playing a video imagine with a dimension ratio 3:4 at its fullest size which left a pillar boxed imagine what percent of the screen area is occupied the imagine

Answers

Answer:

  75%

Step-by-step explanation:

The image is 4 : 3 = 12 : 9. It is displayed on a screen that is 16 : 9, so it occupies 12/16 = 3/4 of the screen.

  75% of the screen area is occupied

3 cakes
25 people
?
125 people

Answers

Cross multiply 3 times 125 and multiply 25 times x and you should get 375 equals 25x and then divide 375 and 25 and get

x=15

For the given word problem, identify the specific quantity. An environmental group is planting trees in a park. The group wants to plant 32 trees in all and have already planted 11 trees. If the group can plant 3 trees per hour, how long will it take it to finish? 11 3 32 t

Answers

Answer:

32

Step-by-step explanation:

its the end amount/quanity

A Jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not
replaced
P(white, then purple, then black)

Answers

Answer:

1 / 36

Step-by-step explanation:

There are 4 + 5 + 1 = 10 chips so there are 10 * 9 * 8 = 720 ways to choose 3 chips and not replace them. There are 4 ways to choose the white chip, 5 ways to choose the purple chip and 1 way to choose the black chip so there are 4 * 5 * 1 = 20 successful ways, therefore, the probability is 20 / 720 = 1 / 36.

The number of private investigators is expected to increase from 25,000 in 2009
to 30,000 in 2019. If there are 312,500 police officers in 2009, how many police
officers must there be in 2019 to have a greater percent increase than that of
private investigators? *

Answers

Answer:

[tex]375001[/tex] police officers

Step-by-step explanation:

[tex]\frac{30,000}{25,000} = \frac{30}{25} = \frac{120}{100} = 1.2[/tex]

That's a 20% increase.

So increase the police by 20% gets you:

[tex]312500 * 1.2 = 375000[/tex]

Based on the wording of the question, if you want a greater percentage, the answer should be a single policeman more, thus 375,001.

Can you guys help me with this ?

Answers

Answer: think it’s b

In which quadrant is the point (1.-2) located? (Remember to use Roman Numerals to write the quadrant numbers.) C 40 A B​

Answers

(1,-2) is one point to the right on the x-axis and two points downwards on the y-axis which is point B OR Quadrant IV. try to memorize the quadrants and remember they are read right to left, downward, then left to right.

List down all the possible. perfect squares that fall within the given ranks​

Answers

Answer:

Below

Step-by-step explanation:

(a). 5 to 30

[tex]9,16 , 25[/tex]

(b) . 100 to 200

[tex]100, 121 ,144, 169 , 196[/tex]

(c). 200 to 300

[tex]225,256,289[/tex]

(d). 300 to 400

[tex]324, 361,400[/tex]

(e). 400 to 550

[tex]400 , 441,484,529,[/tex]

Answer:

5-30

(36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,526,576,625,676,729,784,841,900)

Step-by-step explanation:

Write (5)(5)(5)(5) in exponential form. A. 5 to the 4th power B. 4 to the 5th Power C. 625

Answers

Answer:

A. 5 to the fourth power

What is the domain of g? ​

Answers

Answer:  The domain of G  is 4

Step-by-step explanation:

The domain is the set of all inputs that makes the function definable. The domain is always represented on the  x axis.So looking at g on its x axis you see 4. So the domain is 4.

Answer:

4

Step-by-step explanation:

Question 2
At how many values of a(0° < a < 360°) does pentagon A'B'C'DE' coincide with pentagon ABCDE? What is significant about this
number?

Answers

Answer: each time the pentagon is rotated 72, it maps back onto itself. There are five values of a for which the pentagon maps back onto itself. this is the same as the number of sides of the pentagon.

Step-by-step explanation: edmentum

A regular pentagon has 5 congruent sides and a measure of 360 degrees, at its center.

Pentagon ABCDE and A'B'C'D'E coincide at 4 values of (a)

The angle where pentagon ABCDE and pentagon A'B'C'D'E coincide is:

[tex]\mathbf{\theta = \frac{360}{5}}[/tex]

[tex]\mathbf{\theta = 72}[/tex]

Other angles between 0 and 360 degrees, where pentagon ABCDE and pentagon A'B'C'D'E coincide are multiples of 72.

So, we have:

[tex]\mathbf{a = 72^o,\ 144^o,\ 216^o,\ 288^o}[/tex]

The count of angles is 4

Hence, pentagon ABCDE and A'B'C'D'E coincide at 4 values of (a)

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what is 1 3/5 as a improper fraction

Answers

Answer:

8/5

Step-by-step explanation:

1= 5/5

3/5 + 5/5

= 8/5

Improper fraction of [tex]1\frac{3}{5}[/tex] is equals to ( 8/5).

What is improper fraction?

" Improper fractions are defined as the fractions whose value of the numerator is equals to or greater than it denominator."

Formula used

Convert Mixed fraction to improper fraction

[tex]r\frac{p}{q}[/tex] = (q ×r +p) /q

According to the question,

Given mixed fraction,

[tex]1\frac{3}{5}[/tex]

Substitute the value in the above formula to get improper fraction,

= (5×1 + 3) / 5

= ( 8 / 5)

Numerator 8 > denominator 5

Hence, improper fraction of [tex]1\frac{3}{5}[/tex] is equals to ( 8/5).

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What is the value of 3 minus (negative 2)?

Answers

Answer:

5 I think I'm pretty sure

The value of 3-(-2) is 5

(b + 3g)a = 9
solve for a.​

Answers

Answer: a=

−1

3

b+3

Step-by-step explanation:

Find the distance between the points (-3, 5) and (6,5)

Answers

Answer:

9

Step-by-step explanation:

Since the y coordinates are the same the distance is found by looking at the x coordinates

6 - -3

6+3

9

The distance is 9 units

You can start by using the distance formula.

Find the inverse of f(x) = x-7/ 4​

Answers

Answer:

inverse of f(x)=x7−4 f ( x ) = x 7 - 4 .

Which fraction is equivalent to 80%?

Answers

Answer:

4/5

Step-by-step explanation:

80% is equivalent to 80/100

80/100 can be simplified into 8/10 by dividing both sides by 10

8/10 can be further simplified into 4/5 by dividing both sides by 2

4/5 can not be simplified any further

Complete the equation of the line whose slope is -2 and y intercept is (0, -8)

Answers

Answer:

y = -2x-8

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -2x + -8

y = -2x-8

Directions: Circle the best answer.
7. Which does not represent an integer?
A. O
B.
18
2
C. VO
D.
FE
Type here to search
RI
^ D d
11:48 PM
8/26/2020
The anwser need help

Answers

I’m sorry for the guess but I think it is b

a basketball team won 10 games and lost 15. what is the ratio of wins to the total number of games

Answers

Answer:

The total number of games =25 which is 10+15

then the number of wins are 10.

which is 10/25.

A ratio shows us the number of times a number contains another number. The ratio of wins to the total number of games is 2/5.

What is a Ratio?

A ratio expresses the number of times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Given that a basketball team won 10 games and lost 15. Therefore, the total number of games that the team plays is,

Total number of games = games won + games lost

                                       = 10 + 15

                                       = 25

Now, the ratio of wins to the total number of games can be written as,

Ratio = Games Won/ Total number of games

         = 10/25

         = 2/5

Hence, the ratio of wins to the total number of games is 2/5.

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x -4 -5 = -8 solve for x

Answers

Answer: x=1

Step-by-step explanation:

x - 4 -5 = -8      combine like terms on the left side

x - 9 = - 8      Add 9 to both sides

    +9    +9

x = 1

Answer: [tex]x=1[/tex]

Each person at a picnic chose atleast one piece of a fruit one third of the people chose an apple three -quaters of the people chose a orange what fraction of the people chose both of them

Answers

Answer:

-1/12x

Step-by-step explanation:

Let total people at the picnic=x

People who chose apple= 1/3x

People who chose orange= 3/4x

People who chose each of the fruit= People who chose apple + People who chose orange

=1/3x + 3/4x

= 4x+9x / 12

=13/12x

People who chose each of the fruit= 13/12x

what fraction of the people chose both of them?

Fraction of the people who chose both fruits= Total people at the picnic - People who chose each of the fruit

=x - 13/12x

=12x- 13x /12

= -1/12 x

6 2 need help on this asap

Answers

Answer:

if its 6² it means 6×6 =36

Answer:

36

Step-by-step explanation:

6² = 6 × 6 = 36

Note any number squared, raised to the power of 2 is the number multiplied by itself.

The function g(x) = 3x3 + x is an odd function. Which transformations of g(x) would result in odd functions? Check all that apply. –g(x) g(2x) g(x − 1) g(x) − 3 g(–x)

Answers

Answer:

-g(x), g(2x), g(-x)

Step-by-st-ep explanation:

if f (–x) = f (x), so all of the signs are the same

you can also try on desmos, the graph is more helpful than words explain sometimes

The functions that are odd are -g(x), g(2x), and g(-x). The correct option is A, B, and E.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

For an odd function, -f(x) = f(-x).

Given that the function, g(x) = 3x³ + x is an odd function. Therefore, the transformation of the function that will again result in an odd function is,

A.)  –g(x)

-g(x) = -(3x³ + x) = -3x³ - x

g(-x) = 3(-x)³ + (-1x = -3x³ - x

Thus, this is an odd function.

B.)  g(2x) ⇒ Since this will result in the same function, the only difference will be that the function will be vertically stretched.

E.)   g(–x)

-g(x) = -(3x³ + x) = -3x³ - x

g(-x) = 3(-x)³ + (-1x = -3x³ - x

Thus, this is an odd function.

Hence, the functions that are odd are -g(x), g(2x), and g(-x).

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