Given f(x) = x^3 + kx + 2, and x + 1 is a factor of f(x), then what is the value of
k?

Answers

Answer 1

Answer:

k = 1

Step-by-step explanation:

Given that,

[tex]f(x) = x^3 +kx + 2[/tex]

If (x+1) is a factor of (x), we need to find the value of k.

Using remainder theorem to find it.

Put (x+1) = 0

x = -1

Put x = -1 in equation below.

[tex]x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1[/tex]

So, the value of k is 1.


Related Questions

I WILL GIVE BRAINLIST AND 50 POINTS
The students in a class made graphs to keep track of the number of pages they read in their books.

Which graph shows a proportional relationship?
A.
B.
C.
D.

Answers

Step-by-step explanation:

A proportional relationship graph would show that the points can be arranged in a line that passes through the origin.

All of the points in Graphs B, C and D cannot be connected in 1 straight line, hence they are not proportional relationships.

Only Graph A shows a proportional relationship.

Answer:

a

Step-by-step explanation:

Good afternoon guys! Can anyone help me with this?

Answers

Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question

Step-by-step explanation:






Find cos(a) in the triangle.

Answers

The value of Cosα  from the triangle is 21/29

ABC is a right angled triangle

We have to find the Cosα

We know that cosine function is a ratio of adjacent side and hypotenuse

Let us find the value of  Cosα

The adjacent side of angle α is 21

The hypotenuse is 29 in the triangle

Cosα = Adjacent side/hypotenuse

Plug in the values of adjacent side and hypotenuse

Twenty one divided by twenty nine

=21/29

Hence, the value of Cosα  from the triangle is 21/29

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

At a multi screen movie theater two movies begin at 10 AM the first movie is shown every two hours the second movie is on every three hours what time will both movies be shown together again

Answers

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

Adam needs to build a shed and he can only use triangular frames that form a right
triangle for the corner walls. Which of the following dimensions for a triangular
frame should Adam use?
A 50 in., 110 in., 130 in.
B 25 in., 60 in., 65 in.
C 40 in., 44 in., 58 in.
D 130 in., 50 in, 60 in.

Answers

Answer:

Option B: 25 inches, 60 inches and 65 inches is the correct answer.

Step-by-step explanation:

We will use Pythagorean theorem to find out the dimensions that Adam should use.

A. 50 in, 110 in and 130 in

Using Pythagorean theorem;

[tex]a^2+b^2=c^2 \\(50)^2 + (110)^2 = (130)^2\\2500 + 12100 = 16900\\14600\neq 16900[/tex]

These dimensions will not form a right triangle.

B. 25 in, 60 in, and 65 in

[tex](25)^2 + (60)^2=(65)^2\\625+3600= 4225\\4225=4225[/tex]

These dimensions of the frame will form a right triangle.

C. 40 in., 44 in., 58 in.

[tex](40)^2+(44)^2=(58)^2\\1600+1936=3364\\3536\neq 3364[/tex]

These dimensions will not form a right angled triangle.

D. 130 in., 50 in, 60 in

The larger dimension represents the hypotenuse in right angled triangle.

[tex](50)^2+(60)^2=(130)^2\\2500+3600=16900\\6100\neq 16900[/tex]

These dimensions will not form a right angled triangle.

Hence,

Option B: 25 inches, 60 inches and 65 inches is the correct answer.

HURRY PLS OMG what is/are the solutions of the quadratic function graphed at the right

Answers

Answer: for the first graph all real numbers bc it keeps going up and d: {r}

for second graph also real numbers but i think it horizontally shifted by 2 units to the left. d: {r}

Which is the best way to describe 1-21? 1.the opposite of 2 2. point A 3. the distance between A and C 4. the distance between A and D​

Answers

Answer:

c 4

Step-by-step explanation:

Use the formula d = ( r − c ) t to find c if d = 30 , r = 12 , and t = 5 .

C=

Answers

Answer: c=6

30=(12-c)5

30=60-5c multiply 12 and c by 5

-30=-5c Subtract 60 from 30

-30 ÷ -5= c divide -30 by -5

c=6

PLZ HELP!! WILL GIVE BRAINLIEST!! EVEN SOLVING ONE PROBLEM WOULD BE HELPFUL!!

A) All of the middle-school mathletes solve math problems at the same pace. Working together, six mathletes complete all of the summer homework in 22 hours. How many hours will the homework take if the number of mathletes increases by a factor of 4?

B) A cake mix contains sugar and flour. The mass of the sugar is 14 2/7% of the mass of the flour. What is the percent of flour in the cake mix?

Answers

Answer:

6 = 22    6+4= 10

10+22= 32

if there is 6 students and they complete there work, if it increases by 4 you take 6 and 4 and add them, when u get ur answer u take 10 and add that to 22.

Hope im right also

hi i am NyLa. i am the founder of "BGP" Blckgirlpower. I just opened new spots on my team if you want to join email me at fnyla36 comment to join. You have to be 11- 13 its ok to be shy but at least give it a chance. Hope to see you soon !

Answer:

My answer is 5.5                

Apple stock recently closed at a price of $450 per share. Andy's mom bought Apple stock in 2010 at a price of $150 per share. What is the percentage of change in Apple shares since 2010?

___________________%

Answers

Tbh ion know but Imma guess 134

The area of a right triangle with one leg measuring 10 feet and the hypotenuse measuring 26 feet is
square feet
A 81
B 100
C 120

Answers

Answer:

Use the given functions to set up and simplify  

f

e

e

t

=

f

e

2

t

A

81

=

81

A

B

100

=

100

B

C

120

=

120

C

Step-by-step explanation:

what is 106 divided by 5

Answers

Answer:

21.2

Step-by-step explanation:

Answer:

21.2

Step-by-step explanation:

2 What is the surface area of the packing box? Show your work. 20 in. 3.75 in. 12.5 in.​

Answers

Answer:

Assuming this is a rectangular prism, it should be:

(20x3.75) x2 + (20x15) x2 + (12.5x3.75)x2

10 11 12 13 14 take 10 minutes or 5 minutes of your time to help me please

Answers

Answer:

im on it:) gimme a quick sec and ill come back and edit

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Pls help extra points and mark brainlist easy reading

Answers

Answer:

prove to be right should be the correct answer?

Step-by-step explanation:

In cases like that, switch the word out for it's definitions and choose the one that fits best too, like "He was not sure how he would prove his actions to be right to his family"

Help please :) lol thank u

Answers

Answer:

120

Step-by-step explanation:

do 12 x 10 you get 120

hopes this helps can I pls have brainlest

Answer:

78 ft

Step-by-step explanation:

Find the area of the triangle by multiplying 7 x 6 and subtract that by the area you get from the shaded region so 120 - 42= 78 ft

Which expression is a factor of 64x^2−25?

8x−5

32x−25

32x−5

8x−25

Answers

Answer:

A

Step-by-step explanation:

Answer:
[tex](8x-5)^{2}[/tex]

Step-by-step explanation:

Rewrite 64[tex]x^{2}[/tex] as [tex](8x)^{2}[/tex]
[tex](8x)^{2}[/tex]−80x+25

Rewrite 25 as 5^2.

(8x)^2−80x+5^2

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

80x=2⋅(8x)⋅5

Rewrite the polynomial. [tex](8x)^2[/tex]−2⋅(8x)⋅5+[tex]5^{2}[/tex]

Factor using the perfect square trinomial rule [tex]a^{2}[/tex] −2ab + [tex]b^{2}[/tex]= [tex](a-b)^{2}[/tex], where a=8x and b=5.
[tex](8x-5)^{2}[/tex]

The diagram shows a right-angled triangle,
Calculate the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

[tex]90 + 3x + 16 + 2x + 14 = 180 [/tex]

[tex]5x + 120 = 180[/tex]

[tex]5x = 180 - 120[/tex]

[tex]5x = 60[/tex]

[tex]x = \frac{60}{5} = 12[/tex]

Answer:

x = 12°

Step-by-step explanation:

[tex](3x + 16) + 90 + (2x + 14) = 180 \\ 3x + 2x = 180 - 16 - 90 - 14 \\ 5x = 60 \\ x = \frac{60}{5} \\ x = 12[/tex]

Kelsey has a bag containing yellow, blue, red or purple marbles. There are a total of 24 marbles in the bag. Kelsey randomly selects a marble from the bag and then puts it back. She repeats this process 15 times. If Kelsey selected a yellow marble five times, what is the most likely number of yellow marbles in the bag?

Answers

Answer:

6 yellow because there are 4 colors so 24/4=6

she selected it 5 times and just add 1

The product of a number and 2.4 is 0.48

Answers

Answer:

2.52

Step-by-step explanation:

B
C
55
73
А
Find m2C Round the answer to the nearest hundredth.
A. 0.85°
B 41.11°
C. 48.890
D.undefined

Help

Answers

Answer:

c

Step-by-step explanation:

PLEASEHELP!


ANSWER CHOICES:
A)189
B)329
C)161
D)84

Answers

Answer:

329

Step-by-step explanation:

please help

determine all the unknown values of the figure below.

Answers

Answer:

F=12.76

S=27.18

X=62 degrees

Step-by-step explanation:

hope this helps

mark brianliest ;)

Solve the inequality: |x +5|>-1 please help i will give brainliest thank you​

Answers

Step-by-step explanation:

|x + 5| > -1

Since |y| >= 0 for all real values of y and 0 is greater than -1, there are infinitely many solutions for x.

Answer:

x> -6

Step-by-step explanation:

|x+5|> -1

x+5 > -1

  -5    -5

x> -6

What is the correct process for solving a quadratic inequality?*
A. isolate the variable, set up two equations, solve, substitute
B.rewrite in standard form, turn inequality into equation, solve with box method or
quadratic formula, set up number line, test a value in the middle interval, write
inequality
C.turn inequality into equation, solve with box method or quadratic formula, set up
number line, write inequality
D.solve with box method, set up number line, test a value in the middle interval, write
inequality

Answers

It's C i took the test......

which phrase is a description of 2m + 7 ?
A. 7 more than 2 times m
B. 2 more than 7 times m
C. 2 times the sum of 7 and m
D 7 times the sum of 2 and m

Answers

the phrase which i believe is correct is A. 7 more than 2 times m

the distance traveled (in meters) by the oregon slug can be modeled by the function f(t) = 0.9t, where t is the time in minutes find the distance traveler in 27.5 minutes

Answers

t in time in minutes would be 60 min every hour 35/.6 minutes

Solve the following equation.
7(x - 2) = 3(x + 4)
X = ?

Answers

Answer:

x=6.5

Step-by-step explanation:

Don't worry I just know

Answer:

X = 13/2

Step-by-step explanation:

7(x-2)=3(x+4)

Distribute

7x - 14 = 3x + 12

-3x from both sides

4x -14 = 12

Add 14

4x = 26

Dive by 4

X = 13/2

If u simplify 26/4

Easy geometry question. Show only a little work.

Answers

Answer:

Where is question

Step-by-step explanation:

The number 414,940 is divisible by?

Answers

Answer:

32,643

Step-by-step explanation:

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