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

9-5(x+4)=3(2-x) plz help im so bad at math

Answers

9 × x = 9x

-5 × x = -5x

9 × 4 = 36

-5 × 4 = -20

3 × 2 = 6

3 × -x = -3x

9x - 5x + 36 - 20 = 6 - 3x

4x + 16 = 6 - 3x

4x - 3x = - 16 + 6

x = - 10

: )

This was my answer hope I helped ;)

I really need help I posted this question 3 times and no answers, can someone help I even put extra points and ill give brainliest <333

Answers

Answer:

In a quadrilateral ABCD, ∠A = 100°, ∠B = 105° and ∠C = 70°, find ∠D.

Solution:

Here the sum of the four angles

or, ∠A + ∠B + ∠C + ∠D = 360°

We know, ∠A = 100°, ∠B = 105° and ∠C = 70°

or, 100° + 105° + 70° + ∠D = 360°

or, 275° + ∠D = 360°

∠D = 360° - 275°

Therefore,  = 85°

i hope this was helpful. <3

crown?

difference between -20 and -17

Answers

Answer:

-3

Step-by-step explanation:

because it says difference and differences means subtract so -20-(-17)=-3

the difference is -3

5/6 divided by 1/2 simplest from

Answers

Answer:

5/3

Step-by-step explanation:

(5/6)÷(1/2)

= (5/6) x 2

= 10/6 = 5/3

Hope this helps!

Answer:

the correct answer is 5/3

I'm 100000000000% sure

Solve the system by substitution.

3r + y = 5
5x – 4y = -3

The solution is?

Answers

Can’t solve, because you have only two equations and three variables.

It's for middle SCHOOL PLZzzz HELPPP!!!
You have a coupon for an additional 25% off the price of any sale item at a store. The store has put a robotics kit on sale for 15% off the original price of $40. What is the price of the robotics kit after both discounts?

Answers

Answer:

$25.50

Step-by-step explanation:

Answer:

(40)(15/100)=6

(40)(25/100)=10

10+6=16

orginal price at 40

After discounts 16

40-16=24

so you can buy it in 24$

Hope it helped you

The selling price of a refrigerator is $487.20. If the mark up is 5% of the dealers cost what is the dealers cost of the refrigerator

Answers

Answer:

$464

Step-by-step explanation:

Let the cos be x, then selling price is:

x + 5% = x*1.05 = 1.05x

We have the selling price $487.20

1.05x = 487.20x = 487.20/1.05x = 464

Cost price is $464

6 batteries cost 29 dollars what is the unit rate?

Answers

Answer:

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour

Answer:

[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]

Step-by-step explanation:

Unit rate is a ratio that compares two measurements.

Denominator is 1

[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]

At a birthday party, 8
pizzas are ordered. If 12
people share the pizzas,
how much of a pizza will
each person receive?

Answers

0.75 pizza

Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.

Answer:

0.666667

Step-by-step explanation:

8 pizzas ÷ 12 people = 0.66667 pizzas for each.

Solve for x.
ASAP, please help me

Answers

Answer:

8

Step-by-step explanation:

180=90+40+6x+2

180=132+6x

48=6x

x=8

Answer:

x=4 i think havent done this in a long time

Step-by-step explanation:

is 4 1/2 equivalent to 4.5/100

Answers

Answer:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.

Step-by-step explanation:

hope i could help

34) Which equation is equivalent to: 3r=78+14 ?
A. −3r=−78+14
B. 3r−14=78
C. 3r=78−14
D. −3r=78−14

Answers

It’s B. (Note: The image below isn’t mine but I can assure you it is B)

You depost $572.34 into an account that pays 4.5% interest. How much interest do you earn after 5 years? (Use the formula I=rpt)


A. $128.78
B. $25.76
C. $12,877.65


I really need help!​

Answers

Hello!! I believe the correct answer is C!! If you do 572.34 x 4.5= 2,575.53 so then you multiply that by 5 which gets you 12,877.65!! ;))

Will mark brainliest!! Please do the two in green using cos!!

Answers

Answer: 23.36 and 46.67

Step-by-step explanation:

Number 1:

[tex]cos(32) = \frac{x}{28}[/tex][tex]cos(32)(28) = x[/tex][tex]23.36 = x[/tex]

Number 2:

[tex]cos(57) = \frac{42}{x}[/tex][tex]cos(57)(x) = 42[/tex][tex]x= \frac{42}{cos(57)}[/tex][tex]x = 46.67[/tex]

Click on the correct answer.
One morning it rains 1/2 inch. That afternoon it rains another 1/3 of an inch.
What is the total amount of rainfall?
1/6 of an inch
2/6 of an inch
2/5 of an inch
5.6 of an inch

Answers

5/6 is the answer so I guess the last one.

Do this worksheets if someone do I will make him or her brainly if correct.

Answers

Answer:

[tex]1) \frac{37.5}{100} [/tex]

[tex]2) \frac{9}{40} \times 100 = 22.5 \% [/tex]

[tex]3) \frac{7}{10} \times 100 = 70\%[/tex]

[tex]4) \frac{7}{8} \times 100 = 87.5\%[/tex]

[tex]5) \frac{12}{25} \times 100 = 48\%[/tex]

Point D (-5, 3) and point E (6, -2) are located on a coordinate grid.

Which measurement is the best representation of the distance between point D and point E in units?

Answers

Answer:

Rounding to the nearest number, the answer would be 12 units

Step-by-step explanation:

I hope this helped! Please mark me as brainliest if you can!

if you have 1.234545 davidi by 50=

Answers

0.0246909 hope this helps love ❤️

Answer:

The answer is 0.02469090

Step-by-step explanation:

1.234545÷50=0.02469090

Hope this helps you.

And this one please​

Answers

I agree it’s A bc you look at the highest and lowest points going down and side ways

If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.

Answers

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

There is a $30 fee to rent a tool from Jeff’s Tool Rentals plus $6 per day. If Hector rents a jackhammer for 5 days, what is his total bill?

Answers

Answer: 60$

Step-by-step explanation:

because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60

I believe the answer should be related to x

pls help me, i’ll give brainly

Answers

Answer/Step-by-step explanation:

First, find the slope (m) of Line L using the points (0, 5) and (2, 1):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 5}{2 - 0} = \frac{-4}{2} = -2 [/tex]

Slope (m) = -2

✔️Since the line is parallel bro Line L, it would also have the same slope value of -2.

We can use the slope (m) and a point (a, b) of the line to find its equation using the point-slope formula, y - b = m(x - a).

Substitute (a, b) = (3, 0), and m = -2 into y - b = m(x + a):

Thus,

✅y - 0 = -2(x + 3)

Rewrite equation in slope-intercept form

y = -2(x + 3)

✅y = -2x - 6

If a pound of turkey costs ​$0.82, how much will n pounds​ cost?

Answers

$0.82n is the answer

QUICK WILL GIVE BRAINLIEST.

Answers

Answer:

-5

Step-by-step explanation:

here u go! hope i got it fast enough!

Answer:-5

Step-by-step explanation:

When there are two minuses It becomes plus

Please help

Point____is plotted at -4/5​

Answers

Answer:

C

Step-by-step explanation:

-4/5 is -0.8, which is at point C

plz brainliestt

Answer: C

Step-by-step explanation:

Point A is 4/5

Point B is -2/5

Point C is -4/5

Point D -1 4/5

Point D is

How do the values compare? Order the values from least to greatest. 1/2 , 2 , 2 1/2 , -1/2 , 1 1/2 , 2 1/2​

Answers

Answer:

First always the positive is greater than the negative

Then 1/2, 2, 21/2, 2, 11/2 are greater than - 1/2

1/2=0.5

21/2=10.5

11/2=5.5

Then from lowest to greatest

-1/2,1/2,2,11/2,21/2

I hope you understand

Round 992 to the nearest ten

Answers

It will be 990 hope this helps

Answer:

990

Step-by-step explanation:

990

2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0

please help, thanks :)​

Answers

Answer:

It's C :)

Step-by-step explanation:

Next time check the y-intercept

Green has a intercept of 1

and purple has -3

I need help with math pls

Answers

The answer is 6

Explanation:

What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?

y+4=−911(x−8)

y+4=−15(x−8)

y−4=−15(x+8)

y−4=−911(x+8)

Answers

Answer:

y-4=–911(x+8)

please mark as brainliest

Answer:y-4=–911(x+8)

Step-by-step explanation:

This is the correct answer i do k12

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