Write the following in standard form.

Answer:

The quotient when [tex]x^3-4x^2-8x+8[/tex] is divided by [tex]x+2[/tex] is [tex]x^2-6x+4[/tex] with no remainder, so x+2 is a factor of p(x).

Step-by-step explanation:

As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form [tex](x-a)[/tex]. In this case, we may use synthetic division, since [tex]x+2[/tex] is equal to [tex]x-(-2)[/tex]. I will use synthetic division here as it is slightly faster than long division.

The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.

The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.

Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.

This is the answer: the quotient is [tex]x^2-6x+4[/tex], and the remainder is zero (which indicates that x+2 is a factor of p(x)).

--

Edit: long division

We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since [tex]x \times x^2[/tex] is equal to [tex]x^3[/tex], the first term in the quotient will be [tex]x^2[/tex]. Since [tex]x^2 \times (x+2)[/tex] is equal to [tex]x^3+2x^2[/tex], we must now subtract that from [tex]x^3-4x^2-8x+8[/tex].

We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.

I know this might be difficult to follow, so please comment if you have any questions.

Answer: undefined

Step-by-step explanation:

Answer:

x = - 3

Step-by-step explanation:

2x - 10 + 6 = 7x - 7 - 2x + 12

2x - 4 = 5x + 5

- 5 - 4 = 5x - 2x

-9 = 3x

x = - 9/3

x = - 3

Why is ADEC a trapezoid?

A trapezoid is a quadrilateral with one pair of parallel sides. Since D and E are midpoints, it would be parallel to AC. AD and EC are not parallel since they cross each other at point B.

(I couldn't read the last part of the second question :( )

Answer:

That expression is the same with

6 -2

This equals 4

Hope this helped!

Please do mark as brainliest

The coordinates of that other point are: (5,5) . The x-coordinate gives us the distance of a point from the vertical axis, that is, the y-axis.

The x-coordinate gives us the distance of a point from the vertical axis, that is, the y-axis. Another name for the x-coordinate is abscissa. The y-coordinate indicates how far a point is from the x-axis, or the horizontal axis. The y-coordinate is also called the ordinate.

Notice that |x| means the absolute value of x. So, the function:

f(x) = IxI

takes x to the number with the same magnitude, but with a positive sign.

Thus,

f(-5) = I - 5I = 5

Therefore, the point (-5,5) is on the graph of f(x).

Now, we need to find another point with a y-value of 5.

Observe the graph of f(x):

Notice that another point with a y-value equal to 5 is (5, 5) because

f(5) = I5I = 5

Hence, the coordinates of that other point are: (5,5).

The complete question is : Tell whether the point (-5,5) is on the graph of f(x) = |x|. If it is, give the coordinates of another point with the same y-value.

To learn more about coordinates refer to:

https://brainly.com/question/11337174

#SPJ2

Answer:

D

Step-by-step explanation:

I got that but hopefully, I'm correct. But I'm 100% sure its d

Answer:

2 cups of peanut butter

Step-by-step explanation:

Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?

From the above question:

1/2 cup of oil = 1 cup of peanut butter

1 cup of oil = x

Cross Multiply

1/2x = 1 × 1

x = 1 ÷ 1/2

x = 1 × 2/1

x = 2 cups of peanut butter.

Therefore, for huge batch with 1 cup of oil, she should use 2 cups of peanut butter.

Answer:

If they work together, they will take 6.16 days.

Step-by-step explanation:

Elsa takes 14 days to complete the work.

So, 1 day work by Elsa is [tex]\frac{1}{14}[/tex]

Anna takes 11 days to complete the work.

So, 1 day work by Anna is [tex]\frac{1}{11}[/tex].

So, Let if they work together, it would take x number of days.

So, we can set up equation as

[tex]\frac{1}{14} +\frac{1}{11}=\frac{1}{x}[/tex]

Find LCD, which is 154.

[tex]\frac{11}{154} +\frac{14}{154} =\frac{1}{x}[/tex]

Simplify

[tex]\frac{25}{154} =\frac{1}{x}[/tex]

Cross multiply,

25x=154

Divide both sides by 25

x=6.16 days

If they work together, they will take 6.16 days.

Answer:

I got 90

Please correct me If I am wrong Please and Thank You

Step-by-step explanation:

Combine like terms 70 and 10 which will be 60

and Combine like terms  and you get 30

Then you add 60+30= 90

Answer: 60=30

Step-by-step explanation:

70-10= -40=10

  60  =    30

Answer:

The correct answer is $3.15

Step-by-step explanation:

To find the answer you do $1.89 divided by 3 to find the unit rate,which is 63 cents. Then you do 5 times 63 cents to equal $3.15.

HAVE A GOOD DAY!

Answer:

would not be helpful to anser nowww... sory!

Step-by-step explanation:

Answer:

Line FH is the same as FK

Step-by-step explanation:

The triangle on the left is the same on the right, but inverted. This is proved because lines eh equals gk and angle e and g are the same.

Answer:

line fh is the same as fk

Answer:

No, there is no clear relationship between age and texting speed.

Step-by-step explanation:

i already did it

Answer:

D

Step-by-step explanation:

i took the test, and the answer is right

Answer:

Step-by-step explanation:

188 days / 47 days = 4 periods

Mercury left after 188 days:

Answer:$7.75

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

1. Divide $15 by 6 first to get the unit price per bottle.

$15/6= $2.50

2. Now divide the new dollar amount by the unit price.

$55.00/2.50 = 22

Answer:

x = 8

Step-by-step explanation:

If equiangular, than all angles are equal

Thus, we have that;

7x + 4 = 12x-36

12x-7x = 36 + 4

5x = 40

x = 40/5

x= 8

Answer:

I believe the answer is C. 90 degrees

Step-by-step explanation:

First you find the lengths of the two vectors, which are both [tex]\sqrt{2}[/tex]. Then you find the angle given the cos using:   cos(∅)=[tex]\frac{u*v}{|u|*|v|}[/tex] = [tex]\frac{0}{\sqrt{2}*\sqrt{2} }[/tex] = 0. Then using ∅=acos(0)=[tex]\frac{\pi }{2}[/tex] = 90°

Answer:

c

Step-by-step explanation:

edge

Answer:

1. KJL=55 JLK=55 JKL=70

2. x=12 (you can just plug X in and get the angle measures they will all equal 180 alltogether)

3. x=2

4. x=7

5. 23 degrees

6. i dont remember how to do i sorry

7. 20

8. 45 degrees

9. i dont know

10. 120 degrees

11. cant see the picture

Answer:

Answer

Step-by-step explanation:

OK, there are 360 students in the whole school and 15 classes there, too.

Each class has an EVEN amount of students, so simply, all you need to do is divide (360 divided by 15)

Answer:

x = 9

Step-by-step explanation:

20 = 10 +2(x - 4)

10 + 2(x -4) = 20           {Use distributive property}

10 + 2x - 2*4 = 20

 10 + 2x - 8  = 20       {add like terms}

        2x  + 2 = 20        

              2x = 20 - 2

             2x = 18

              x = 18/2

x = 9

Answer:

DE = 27

Step-by-step explanation:

From the picture attached,

Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.

By the mid-segment theorem,

A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.

DC = [tex]\frac{1}{2}\text{AB}[/tex]

(2x + 13) = [tex]\frac{1}{2}(13x-37)[/tex]

2(2x + 13) = (13x - 37)

4x + 26 = 13x - 37

13x - 4x = 26 + 37

9x = 63

x = 7

DE = 2x + 13

     = 2(7) + 13

     = 14 + 13

     = 27

Answer:

24 buckets

Step-by-step explanation:

Given that :

Dimension of rectangular block = 45 m by 38 m

A bucket of paint will cover 72m² of floor

Total area of floor : Length * Width

Total Area = (45m * 38m) = 1710 m²

Buckets of paint required :

Total area / Area per bucket

= 1710m² / 72m²

= 23.75 buckets

= 24 buckets

Answer:

FV= $1,545

Step-by-step explanation:

Giving the following information:

Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year.

To calculate the nominal value of the account after one year, we need to use the following formula:

FV= (P*r*t) + P

FV= future value

P= principal

r= interest rate

t= 1

FV= (1,500*0.03*1) + 1,500

FV= $1,545