Find the quotient:

_________________
x - 4 ) x^3 + 2x^2 – 16x - 32

Answers

Answer 1

Step-by-step explanation:

x-4)x³+2x²-16x-32(x²+6x+8

x³-4x²

- +

____________

6x²-16x-32

6x²-24x

- +

_________

8x-32

8x-32

- +

_____

X X

______

Hence,

The quotient is x²+6x+8.


Related Questions

is f(x)=5x^2+6x^3 a polynomial function​

Answers

Polynomials are expressions whose exponents are non-negative integers and the coefficients are real numbers. The leading term is the term with the highest power. The coefficient of the leading term is the leading coefficient. The power of x in the leading term is called the degree of the polynomial! Here are some examples of polynomials:
Degree Name Example
0 constant 11
1 linear 4x + 7
2 quadratic 3x2 + 4x + 5
3 cubic 4x3 + 3x + 7
4 quartic 3x4 + 2x2 + 4
5 quintic x5 + 3x + 1
Any value of x such that P(x) = 0 is a root of the equation and a zero of the function.
Review of synthetic substitution
To use synthetic substitution, do the following:
1) Write the polynomial in descending order.
2) Make sure any missing terms are replaced with zero!
3) Bring down the leading coefficient.
4) Multiply by the divisor and add to the next term.
5) Repeat the process until the last coefficient is reached.

Example
Use synthetic division to find P(2) for P(x) = 2x3 - 9x2 + 27
2| 2 -9 0 27
4 -10 -20
2 -5 -10 7 The value of P(2) = 7, the last number!!
Sample Problems
1) State whether each is a polynomial function. If yes, find the degree and the zeros.
Problem Polynomial? Degree zeros
a) f(x) = 5 - 4x yes 1 5/4
b) f(x) = 3x2 - 6x yes 2 0, 2
c) f(x) = x - 3/x no
d) f(x) = 18 yes 0 none
e) f(x) = (x-3)/(x+2) no
2) Use synthetic substitution to find P(3) for each function:
a) P(x) = 4x3 - 5x2 + 3
3| 4 -5 0 3
12 21 63
4 7 21 66
Therefore, P(3) = 66

b) P(x) = 3x4 + 2x3 - 5x - 2

3| 3 2 0 -5 -2
9 33 99 282
3 11 33 94 280
Therefore, P(3) = 280


3) If 4 is a zero of f(x) = 3x3 + kx - 2, find the value of k.
Since 4 is a zero, the value of f(4) = 0. Use synthetic substitution.
4| 3 0 k -2
12 48 192 + 4k
3 12 48 + k 190 + 4k
Now 190 + 4k = 0, solve for k
4k = -190
k = -190/4 = -47.5

in quadrilateral abcd below,

Answers

Answer: where is the quadrilateral

Step-by-step explanation:

The ratio of the number of men to the number of women in a room is 7 : 4. There are 9 more men than women. How many people are there in the room?

Answers

Answer:

33 people

Step-by-step explanation:

7x = 4x + 9

3x=9

x=3

7(3) = 21

4(3) = 12

33 people


A person with a height of 2 meters stand near a tree. The tree casts a shadow that is 30 meters long and the person has a shadow that is 3
meters long. What is the height of tree

Answers

9514 1404 393

Answer:

  20 m

Step-by-step explanation:

The 30 m shadow of the tree is 10 times the 3 m length of the person's shadow. We expect the tree to be 10 times as tall as the person:

  10(2 m) = 20 m . . . height of the tree

Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying a scarves what do the parts of the expression 48s represents

Answers

The expression 48s represents the cost of the scarves.

Given

Emiko makes Shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves.

Let s represent the price of the scarves.

The cost of each scarves is 48.

Therefore,

The cost of scarves = Number of scarves × cost of each scarves.

The cost of scarves = s × 48

The cost of scarves = 48s

Hence, the expression 48s represents the cost of the scarves.

To know more about Expression click the link given below.

https://brainly.com/question/18371860

Answer:In the expression 48s ,represents the number of scarves and 48 represents  the price per scarf

Step-by-step explanation:

Which of the following numbers is irrational?

Answers

The second one I think

ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?

Answers

Answer:

42

It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.

But at least its correct.

Ms. Smith still have 42 ounces of candy in her bag.

What is Subtraction?

To subtract means to take away from a group or a number of things.

Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.

1 pound = 16 ounces

She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds

3 pounds = 16*3 ounces = 48 ounces

She ate 6 ounces of candy

Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.

Hence, Ms. Smith still have 42 ounces of candy in her bag.

For more references on Subtraction, click;

https://brainly.com/question/2346316

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-167-(-12)=
answer it idk

Answers

Answer:

155

Step-by-step explanation:

All you do is subtract negetive 167 and take -12 away from 167.

-2004 because the -12 becomes a positive then you multiply-167 to 12

The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12.
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
Of(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
O f(x) = 5x + 2

Answers

Answer: I think it’s f(x)=2x+2

Step-by-step explanation:

$5.97 / 2

please show your work! I'll give brainliest to whoever shows work.

Answers

Answer:

2.99

Step-by-step explanation:

1.) 2 goes into 5 2 times. So the 2 goes on top of the division sign

2.) 2x2=4

3.) Move 4 below 5

4.) Subtract 5-4=1

5.) Bring down 9

6.) 2 Goes into 19 9 times

7.) 2x9=18

8.) 19-18=1

9.) Bring down the 7

10.) 2 Goes into 17 8 times

11.) 2x8= 16

12.) 17-16=1

13.) Add a zero onto the end, bring down that zero

14.) 2 goes into 10 5 times.

15.) Round answer to 2.99 because with money you only have two decimals

The answer is 2.99 you could use a calculator to find your answer!

HELP!!!! (zoom in to see it better)

Answers

Answer:

C and D

Step-by-step explanation:

The lines are parallel to eachother dont worry about what the lines is in the middle

for the second question, it is the same thing, the lines are both going straight

which means that they are parallel

Answer:

C and D

Step-by-step explanation:

Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have

Answers

Answer:

72

Step-by-step explanation:

Stacy has 30 marbles

Let m= the number of marbles that mallory has

stacy has 1/2 m -6

30 = 1/2 m -6

Add 6 to each side

30+6 = 1/2m

36 = 1/2m

Multiply each side by 2

72 = m

Mallory has 72 marbles

Answer:

72

Step-by-step explanation:

I'm cool and the guy above me stinko

|2x+5|-4=16 find both answers

Answers

Answer:

x=7.5 and x=-12.5

Step-by-step explanation:

|2x+5|-4=16

|2x+5|=20

2x+5=20

2x=15

x=7.5

2x+5=-20

2x=-25

x=-12.5

3.08 + 8.94 Find the sum

Answers

Answer:

5.86

Step-by-step explanation:

3.08+8.94=12.02
the answer is 12.02

Free pints get it lolololo​

Answers

Answer:

Yayee

Step-by-step explanation:

Hahahahahha
Jags rvhdv f hdidbdjbfjfoc. S in thrift Nd

Which statements are true about points A, B, and C? Check all that apply.

Answers

Answer:

b

Step-by-step explanation:

Answer:

2 & 5

Step-by-step explanation:

what is 10x plus 50 - 2 divided by 6 + 100 times 8 - -2.

Answers

Answer: the answer is -947 hope this helped.

Step-by-step explanation:

Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable

Answers

Answer:

The input of the function

Step-by-step explanation:

After 2 weeks of training Amanda learned a total of 5 appetizer recipes after 6 weeks of training how much appetizers will she learn

Answers

Answer:

15

Step-by-step explanation:

After 6 weeks of training, Amanda will learn 15 recipes.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Recipes learned by Amanda after 2 weeks of training = 5.

After 6 weeks of training, the number of recipes are required.

To find the number of recipes,

Use ratio property,

After 2 weeks of training = 5 recipes

After 1 week of training = 5/2 recipes.

Therefore, after 6 weeks of training = (5/2) x 6 = 15 recipes.

Amanda will learn 15 recipes after 6 weeks of training.

To learn more about Ratio on :

https://brainly.com/question/13419413

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Dean walked from the library to the mall. For the
first 12 minutes, he walked at a speed of 80
m/min, but then he slowed his speed to 68
m/min for next 7 minutes. If he was still 130 m
away from the mall, what was the distance
between the library and the mall?

Answers

905 mph because of the 7 minutes

How do you Graph: -3x – 2y = -8

Answers

Answer:

I hope this helps!

Answer:

y = -2/3x +4 --> y = mx+b form

Step-by-step explanation:

-3x-2y = -8 --> add 3x to both side

-2y = 3x-8 --> divide by -2 on both side

y = -2/3x +4 --> y = mx+b form

the y intercept is 4 and the slope is -2/3, down 2, right 3.

therefore, the graph would contain a y intercept point of (0,4) and then from there u would start plotting down 2, going right 3 unit or up 2 and left 3 units. Then when u plotted at least 2/3/4 points, use a straightedge to draw the line.

Find the distance between the points (10,5) and (6,2)

Answers

The answer fam is........... 5 To find the distance between (10,5) and (6,2) use the "Distance formula"

5. Mrs. Correa bought a box of 72 pencils and kept 30 of them for herself. She gave the rest to her 6 children so that each had the same number of pencils. Which expression could be used to find the number of pencils each child received? *

Answers

Answer:

(72-30)/6 = 7 is the equation

72-30=42

42/6=7

Step-by-step explanation:

Good luck! <3

Answer:

(72-30) divided by 6

Step-by-step explanation:

You subtract 30 from 72 because Ms.Correa is going to keep them. Then you divide that by 6 of her children to get your answer. 72-30=42, 42/6 = 7

Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.

a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .

Answers

Answer:

A)  M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f'(1) = e' [sin(1) + cos(1) ]

D) g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Step-by-step explanation:

Attached below is the detailed solution of the problem

A) m(w) = 3w^17 * 4^w

M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h(t) = [sin(t) + cos(t) ] t^4

h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f(x) = e^x sin (x).  at a = -1

f'(1) = e' [sin(1) + cos(1) ]

D) g (x) = ( x^2 + x ) 2^x .

g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Find the value of X.

Answers

Answer:

x = 59

Step-by-step explanation:

34 + x - 30 + 5x + 2 = 360

34 - 30 + 2 + x + 5x = 360

4 + 2 + 6x = 360

6 + 6x = 360

6x = 354

x = 59

Hope this helped!

instructions: analyze the diagram below and complete the instructions that follow​

Answers

Answer:

75°

Step-by-step explanation:

x+60=5x. (vertical angles)

4x=60

x=15

m<GJI = x+60

=15+60 = 75°

explain how you would use the communitive property of multiplication to aswer 7x3. ​

Answers

Answer:

since 7 times 3 is 21

Step-by-step explanation:

it would be 7+7+7 becuase you do seven times 3

hope that helped!

NEED A MATH TUTOR ASAP !!!

tim has $20 in a savings account. The interest rate is 10% per year and is not compounded. How much will he have in 1 year ?

Answers

Answer:

$22

Step-by-step explanation:

20 * 1.10 = 22

The answer is $22 good luck!!

i’ll literally give you 45 points but please answer it correctly i have a D in math class

Answers

I wrote out the answers on top of the sheet. Hope this helped!

I need help please help me out .

Answers

21,540 multiply 359 times 60
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