Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.

Answers

Answer 1

Answer:

(x + 5) is not a factor of, [tex] f(x) = x^ 3 − 4x^2 + 3x + 7 [/tex]

Step-by-step explanation:

[tex] f(x) = x^ 3 − 4x^2 + 3x + 7 \\ \\ let \: x + 5 = 0 \\ \implies \: x = - 5 \\ \\ plug \: x = - 5 \: in \: f(x) \\ \\ f( - 5) = ( - 5)^ 3 − 4( - 5)^2 + 3( - 5) + 7 \\ \\ f( - 5) = - 125 − 4(25) - 3( 5) + 7 \\ \\ f( - 5) = - 125 − 100 - 15 + 7 \\ \\ f( - 5) =7 - 240 \\ \\ f( - 5) = - 233 \\ \\ \because \: f( - 5) \neq 0 \\ \implies \: remainder\: is\: not\: zero\\ \therefore \: (x + 5) \: is \: not \: a \: factor \: of \: \\ f(x) = x^ 3 − 4x^2 + 3x + 7 \\ [/tex]

Answer 2
I’m gonna use the remainder theorem so if a polynomial p(x) is divided by x-a the remainder obtained is p(a) therefore

X= -5

Then just plug in -5 in the function and if the result is 0 then is a factor

(-5)^3 - 4(-5)^2 + 3(-5) + 7 = -233

Therefore x+5 is not a factor

Related Questions

Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 C)-4 D)
4

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Mathematically if we have lengths a, b and c

For a triangle to occur, let us say that the third side is c

then a + b must be greater than or equal to c

Hence c must be equal to (4 + 8) or greater than (4 + 8)

With the options given , A is the correct answer

Michael returned a bag of cans and received $4.65 back. If the deposit for each can was $0.05, how many cans did he return?

Answers

Answer:

I'm not sure

Step-by-step explanation:

How many apples are there in a bag if there is a total of nine pieces of fruit

Answers

Answer:

9

Step-by-step explanation:

if their nine pieces nine apples

hope im right!

I think 9 because there nine pieces of fruit in the bag, hopefully I made sense !

A fireman's ladder leaning against a house makes an angle of 50° with the ground. How long is the ladder if the ladder is 8 feet from the foot of the house?​

Answers

The ladder would be 12.4 feet hope that helps

Kristen is building a pattern using triangles

Answers

Answer:

good for Kristen! lol

Step-by-step explanation:

glad she's enjoying herself! thanks for the points... have a good day!

Answer:

yrsese

Step-by-step explanation:

What is the value of x in 0.5x+8=1.2x-6

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 20

Step-by-step explanation:

0.5x+8=-7.2

0.5x=-7.2-8

0.5x=-15.2

×=-15.2÷0.5

x=30.4

Last week Andrew was paid $150 for 10 hours of work. How much money does Andrew earn per hour?

Answers

Answer:

15 dollars a hour

Step-by-step explanation:

150 an hour

150/10

15 dollars an hour

Answer:

15

Step-by-step explanation: if not right sorry

Sarah said that 26÷8 is the same as/equal to 14÷4 and the answers are "3r2". What did Sarah do wrong? 5th grade math help fir my daughter. I think Sarah meant: 26÷8 is the same as or equal to 13÷4 instead of 14÷4 which is what she did wrong?

Answers

Answer:

Yes

Step-by-step explanation:

Yes, that is exactly what Sarah did wrong. Apparently, she tried to divide both the numerator and denominator in this problem by 2 (half) but divided the numerator incorrectly. 26 divided by 2 would equal 13 but Sarah mistakenly calculated it as 14 which would give her a totally different value when divided by the new denominator. If were to have divided correctly it would give her [tex]\frac{13}{4}[/tex] which is the same as [tex]\frac{26}{8}[/tex]

Find in term of pi, the volume of the water​

Answers

Hope this might help u

PLZ HELP PLZ PLZ PLZZZZZ

Answers

Growing 10 inches in 2 years

How much of earth surface by land

Answers

Answer:

GOOD AFTERNOON

UR ANSWER IS ::

Step-by-step explanation:

2

510.1 milion km

196.9 million mi²
Mass: 5.972 × 10^24 kg
Distance from Sun: 92.96 million mi

Write seventeen thousand and one hundred six thousandths in standard form

Answers

Answer: 17,000.106.

Step-by-step explanation: hope this helps

Which is the decimal representation of 19/33?

Answers

Answer:

0.57

Step-by-step explanation:

The 57 repeats

Answer:

0.575757576

Step-by-step explanation:

the simplify it 0.575758

Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?
O 64,0)
O (-2,0)
O (0, 2)
O (4,-2)

Answers

Answer: One of the x-intercepts are (-2,0)

Answer:

(-2,0)

Step-by-step explanation:

Cause I took the quiz <3

how wide is a poster that has a length of 9/2 feet and area of 45/4​

Answers

Answer:

5/2 is your answer

Step-by-step explanation:

what's the perimeter​

Answers

Answer:

20

Step-by-step explanation:

You have to add the two equal sides (6)+(6) + 8

Answer:

20

Step-by-step explanation:

since there's a dash in the side with length of 6 that means that the sides are the same length. so 6+6=12+8=20.

hope this helped :)

HELP!! Who ever does all these problems gets a brainlist and 50 points

Answers

Answer:

760cm = 7.6m

2485m = 2.485km

3090g = 3.09kg

205ml = 0.205ml

It seems I only get 30 points, ah well.

Meredith needs $399 to buy a tablet computer. She wants
to earn enough money babysitting to cover at least two-
thirds of the cost.
If she earns $8 an hour babysitting, write an inequality that
can be used to solve for b, the number of hours she must babysit.

Answers

Answer:

8b =266

Step-by-step explanation:

2 3rds of 399 is 266

then just solve for b

sorry if this looks weird i havent written inequalities since 8th grade

It takes Andre 4 minutes to swim 5 laps.

How many laps PER MINUTE is that? (round to two decimal places if needed)
can someone also show there work?

Answers

=> 4 minutes.........5 laps |:4
=> 1 minute....1,25 laps
=> 1,25 laps per minute

can someone help me ?

Answers

Answer:

c

Step-by-step explanation:

The bottle is completely full at 11:40 a.m.


Which statements help explain this result? Check all that apply.

The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.
The bottle was 1/2 full at 11:35 a.m. and more bacteria were added to fill the bottle.
Exponential growth involves a constant multiplicative rate of change.
Exponential growth involves a constant additive rate of change.

Answers

Answer:

A,B,D

Step-by-step explanation:

Answer:

A,B,D

Step-by-step explanation:

B is between A and C. If AB = 2x + 1, BC = x, and AC = 22. Find AB.

Answers

Answer:

15

Step-by-step explanation:

AB + BC = AC

2x + 1 + x = 22

3x + 1    = 22

        3x = 22 -1

        3x = 21

         x = 21/3

   x = 7

AB = 2*7 +1

      = 14 + 1

      = 15

Please help with this

Answers

Answer:

dude your teacher is on crack

Answer:

option B (37)

Step-by-step explanation:

74÷2 (as it's half)= 37

XT= 37

Hope it helps!

Jane is studying the weather in Alaska. She has recorded the temperature for four days in January, in degrees Fahrenheit, as shown in the table.

Answers

I have attached an image of the complete question.

Answer:

Options A & F are correct

Step-by-step explanation:

From the image attached, we have the following recorded temperature for 4 days in January.

Monday: -5° F

Tuesday: -1° F

Wednesday: 3° F

Thursday: 5° F

Option A is correct because the temperature on Monday and Tuesday is negative and thus below zero.

Option B is not correct because the temperature on Monday and Thursday are not the same since they are -5° F and 5° F respectively

Option C is not correct because the temperature on all days was not above zero since on Monday and Tuesday had negative temperatures

Option D is not correct because the lowest temperature below zero is on Monday and not Thursday

Option E is not correct because the temperature on Wednesday and Thursday are positive and not below zero.

Option F is correct because Monday had a temperature of -5° F which is the lowest gotten below zero

The temperature on Monday and Tuesday is negative and thus below zero.

The temperature on Monday had a temperature -5F which is the lowest value below zero.

Given,

Jane recorded temperature for 4 days in January.

Monday: -5° F

Tuesday: -1° F

 Wednesday: 3° F

 Thursday: 5° F

According to the question,

Compare the temperature from the given value of the temperature.

This statement is the correct because the temperature on Monday and Tuesday is negative and thus below zero.

This statement is not correct because the temperature on Monday and Thursday are not the same since they are -5° F and 5° F respectively.

This statement is not correct because the temperature on all days was not above zero since on Monday and Tuesday had negative temperatures.

This statement is not correct because the lowest temperature below zero is on Monday and not Thursday

This statement is not correct because the temperature on Wednesday and Thursday are positive and not below zero.

This statement is correct. because the temperature on Monday had a temperature -5F which is the lowest value below zero.

For more information about  statement comparison click the link given below.

https://brainly.com/question/15565807

Car A is traveling east at a steady speed of 45 miles per hour. After 2 hours, it is 100 miles east of Johnstown


Car B is traveling east on the same road. it’s distance east of Johnstown is represented by the graph.


Where were the two cars in relation to each other when they began traveling?


A. Car B was 10 miles east of car A

B. Car A was 45 miles east of car B

C. Car A was 10 miles east of car B

D. Car B was 40 miles east of car A

Answers

Answer:

The correct option is;

A. Car B was 10 miles east of car A

Step-by-step explanation:

The given parameters are;

The speed of car A = 45 miles per hour

The direction of car A = East

The distance of car B from Johnstown after 2 hours = 100 miles east

The direction of Car B = East

The distance of car B from Johnstown is given on the graph

Therefore, the initial distance of car A from Johnstown when car A began driving is given as follows;

The initial distance, east, of car A from Johnstown = 100 - 2 × 45 = 10

∴ The initial distance, east, of car A from Johnstown = 10 miles

From the graph, the initial distance, east, of car B from Johnstown = 20 miles

Therefore, car B was 10 miles east of car A

Answer:

Car B was 10 miles east of car A

Step-by-step explanation:

Write a unit rate for the situation.

240 people in 5 buses

Answers

Answer:

1:48

Step-by-step explanation:

for every 1 bus there is 48 people inside

Answer:

48 people in each bus

Step-by-step explanation:

5/5=1

240/5= 48

HELP!! (30 points) and brainlist

Answers

1. 5.5 feet = 66 inches
2. 56.75 pounds = 908 ounces

Answer:

5.5 feet is 66 inches. and 56.75 pounds is 908 ounces

Step-by-step explanation:

Hope this helped you!! Give brainliest

A store sells a pack of 50 widgets for $2, a pack of 120 widgets for $6, and a pack of 200 widgets for $9. Which is the best buy?

Answers

Answer:

The first 50 widgets for $2

Step-by-step explanation:

50/2=25

120/6=20

200/9=22.22 repeating

Jill spent half of the money she saved to buy a video game. To earn more money her parents let her wash the car and do other chores for $20. How much money did she have saved if she now has $50.

VALID ANSWERS ONLY OR YOU GET REPORTED.

Answers

Answer:

Step-by-step explanation:

She has $50 and before she earn $20 had $50-$20=$30

so she had $60

payed for video game $30 now has $30

earn from parents $20 now has $50

If she would not bye the video game she would have had $80 saved

Question 5
3 pts
A map has a scale of 2 inches = 3 miles. If two towns are nine inches apart on the map, how
far are they actually apart?
O 13.5 miles
O 6 miles
O 13.5 inches
O 54 miles
< Previous
Next

Answers

13.5

multiply the scale by 4 so
8 inches = 12 miles

then add on half to make it 9 inches
1 inch = 1.5 miles

add them together
9 inches = 13.5 miles
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