Charles needs to determine whether x+2 is a factor of f(x)=2x^4 -3x^3 +5x -16 .

How can Charles use the factor theorem to determine whether x+2 is a factor of f(x)?

Fill in the blanks using the word bank below:

f(-2) f(2) f(4) 30 2 320 is is not

Charles evaluates ________________ and determines its value to be______________Charles concludes that ______________ factor of .

Answers

Answer 1

Charles evaluates f(-2) and determines its value to be 30  Charles concludes that is not factor of f(x).

What is Factor theorem?

The factor theorem in algebra establishes a connection between a polynomial's factors and zeros. The polynomial remainder theorem has this particular special instance. A polynomial f(x) has a factor if and only if f=0, according to the factor theorem.

Given : f(x)=2x^4 -3x^3 +5x -16

By Factor theorem, If x+2 is a factor of f(x), then f(-2) should be equal to 0.

So, Charles can use factor theorem to determine whether x + 2 is a factor of f(x) by putting x=-2 in f(x),

f(x) = 2x^4 -3x^3 +5x -16

     = 2×(-2)^4 - 3×(-2)^3 + 5(-2) - 16

     = 2×16 + 3×8 - 10 - 16

     = 32 + 24 -10 -16

     = 56 -26

     = 30.

Since, f(-2) ≠ 0, (x +2) is not a factor of f(x).

Learn more about Polynomials from the given link :

https://brainly.com/question/24729294

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Related Questions

In parallelogram JKLM if LN=12 find LJ.

Answers

Answer:

LJ=24

Step-by-step explanation:

since half of LJ is LN and LN=12 add 12+12 and you will get 24.

Can u please give me the real answer I really need help☹️

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Answer:

12,000 g = 12000000 kg

120 cm = 1200 mm

1.2 L = 1200 L

1200 cm = 12 m

0.12 m = 120 mm

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Answer:

C. Substance C, Substance A, Substance D, Substance B

If $520 is borrowed for 290 days at 2.15% simple annual interest, how much will be repaid at the end of 290
days?

Answers

Step-by-step explanation:

Formula for simple interest

[tex]a = p(1 + rt)[/tex]

where a = final amount

p = principal amount

r = annual interest rate

t = time in years

given p = 520,

r = 2.15/100

t = 290/365 (1 year = 365 days)

[tex]a = 520(1 + ( \frac{2.15}{100} )( \frac{290}{365} )) \\ = 520 (1 + \frac{1247}{73000} ) \\ = 520( \frac{74247}{73000} ) \\ = 528.88 \: (2.dp)[/tex]

HELP ASAP
Find the value of x. Round to the
nearest tenth.
16
Х
x = [?]

Answers

Answer:

x = 9. 177

Step-by-step explanation:

What is x in this equation?

Answers

Answer:

x = 124

Step-by-step explanation:

x = 124 because of alternate exterior angles

X=124 because is the result when you add all the value of x and get answered

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

18

Step-by-step explanation:

2.5x + 1x= 63

3.5x =63

divide 3.5 by both sides ti get 18

Can you help me with this work please?

Answers

9514 1404 393

Answer:

  OL = 7

Step-by-step explanation:

Triangle JKL is isosceles and N is the midpoint of JL, so NL = NJ = 14.

Triangle LMN is isosceles and O is the midpoint of NL, so NL = 2(OL).

  OL = NL/2 = 14/2

  OL = 7

__

There is no WY.

Please only answer the odds for example 1. 3. 5. 7. 9. thanks if your answer is a virus or if its absurd i will repo thanks also I am giving brainlest for correct answers(:

Answers

Set A:

1. 1 1/2 - closest to 1

2. 11/24 - closest to 1/2

3. 3/16 - closest to 0

4. 11/24 - closest to 1/2

5. 8/15 - closest to 1/2

6. 49/60 - closest to 1

7. 1 1/10 - closest to 1

8. 31/60 - closest to 1/2

Set B:

1. Common denominator = 10

2. Common demoninator = 18

3. Common denominator = 28

Can someone please help me with this problem?

Answers

Answer:

1120 cm^3

Step-by-step explanation:

Volume of the ice cube = B * h

B = 20 cm^2

h = 4 cm

Volume = 20 * 4 = 80 cm^3

This volume is for one cube holder in the tray.

There are  7 * 2 such holders

There are 14 holders

Total volume of the holders =

14 * 80 =

1120 cubic cm

24-5₂

Sorry i tried to put the 2 at the top edge of the 5 but i could not.

Answers

Explanation in this file

\\Workhelp2gow//.com

Combining Like Terms:

11z+17-7z-6

Answers

Answer:
4z+11
Step-by-step explanation:
11z-7z=4z
17-6=11

Answer:

4z+11 final answer

Step-by-step explanation:

11z+17-7z-6 this is the Q

11z-7z+17-6

4z+11 the result is 4z+11


A store owner kept track of how many t-shirts were sold last month. The store sold 28 blue t-shirts, 42 green t-shirts, and 56 white t-shirts. Based on
this data, what is the probability that the next customer will buy a green t-shirt?
A .33
B
.42
50
D) .84
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Answers

the answer is A ………………

ASAP

a golden bar has a mass of 12.5kg. the density of gold is 19.3 g/cm^3. work out the volume of the gold bar. give your answer to correct 3 sf.

Answers

Answer:

647.668 cm³

Step-by-step explanation:

12.5 kg = 12500 g

12500 g/19.3 g/cm³ = 647.668 cm³

The answer is 647.668 cubic centimeters

Three friends went running.
Josh ran
Eric ran 7 1/2 miles
of the miles Eric ran
Kerry ran of the miles Josh ran.
How many miles did Kerry run?

Answers

Answer:

7 1/2+ 7 1/2=146 of 146 Kerry and Eric ran the same amount each

PLEASE HELP AND NO LINKS OR YOU WILL BE REPORTED

I need help with this, I wanna say the answer is 14 but I’m afraid the answer is wrong please help me

Answers

You're right! It is 14...

PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!

To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 7.4 cm and volume of 2119.5 cm3 Give the approximate answer rounded to 2 decimal places.

Answers

Step-by-step explanation:

v= 2×pi×r²×h=2119.5cm³

h=2119.5/(2×pi×r²) r=7.4cm

Answer:

12.32cm

Step-by-step explanation:

Volume of cylinder = πr²h

2119.5=π(7.4²)h

h=2119.5/54.76π

h=12.3202666868

h=12.32cm

Is 3(b+c) equivalent expressions?

A. True

B. False

Answers

Answer:

Is 3(b+c) equivalent expressions?

A. True

Answer is: A
Hope this helps :)
Brainliest plzz

Help me with this please

Answers

Answer:

That's called a parabola

Step-by-step explanation:

Since it's graphed in a "U" shape

Liam made 10 robots in five hours. In all, how many hours will you need to make 18 robots

Answers

You need 9 hours to make 18 robots

Find the perimeter of this L shape.

Answers

Answer: undefined, not enough information

Step-by-step explanation:

Answer:

15+19 =34 is the perimeter of the closed figure

hope it helped you

This is what I need help with LIKE PLEADE

Answers

9514 1404 393

Answer:

  y = 3x -8

Step-by-step explanation:

The equation of the given line is in slope-intercept form ...

  y = mx + b

Matching that equation to this pattern, you see the slope is ...

  m = 3

The parallel line will have the same slope.

If you rearrange the above equation, you find ...

  b = y - mx

For the given point and slope, the new y-intercept will be ...

  b = 4 - 3(4) = -8

The equation you want is ...

  y = 3x -8

To a set of five grades with an average of 7.31, the following grades are added 4.47 and 9.15 What is the new average?

Answers

Answer:

New mean average of 7 grades = 7.17 (Approx.)

Step-by-step explanation:

Given:

Mean average of 5 grades = 7.31

Number of grades = 5

New grades = 4.47 and 9.15

Find:

New mean average of 7 grades

Computation:

Total of old grades = Mean average of 5 grades x Number of grades

Total of old grades = 7.31 x 5

Total of old grades = 36.55

Total of new grades = Total of old grades + 4.47 + 9.15

Total of new grades = 36.55 + 4.47 + 9.15

Total of new grades = 50.17

New mean average of 7 grades = 50.17 / 7

New mean average of 7 grades = 7.167

New mean average of 7 grades = 7.17 (Approx.)

Find the slope of the line between each pair of points, write your answer as a improper fraction or a whole number:
(19,-12) and (5, 16)

Answers

I’m looking for the same answer

What solution equals x^4=81

Answers

Answer:

Step-by-step explanation:

3^4=81

3 to the square root of 4 is 81

3*3*3*3=81

Answer:

Since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

The inverse (opposite operation) of "to the fourth power" is "to the fourth root".

(x^4) ^ 1/4 = 81 ^ 1/4

81 = 3^4

so, (3^4) ^ 1/4 = 3 ^ 1 = 3

by hand: (3^4) 1/4 = 3 ^

(4 × 1/4) = 3^1 = 3

(when you take a power to a power, multiply the exponents.)

Or, do it by calculator. One way of finding the fourth the fourth root is to use ^ (1/4).

3 When 25 x+2y-* x-12y+3) x-1ży+3) is simplified, what is the resulting expression? 1 Tox+23y+6 7. x+23y+6 x+85y+8 1 Tox+4*x+3​

Answers

Answer:

B

Step-by-step explanation:

A=8b+c solve for b
Please help!

Answers

Answer:

(A-c)/8 = b

Step-by-step explanation:

A = 8b +c

A - c = b

(A-c)/8 = b

Hope this helps you!

PLLLLEEEEAAASSSEEEE HHHEEELLLPPPP!!!!! WILL MARK BRAINLIEST
This table shows the daily high temperatures, in degrees Fahrenheit, for two towns over a 10-day period.

Town A 45 50 42 57 54 53 50 49 47 47
Town B 30 35 43 50 60 68 70 68 40 30
Based on these results, which conclusions can you draw about the temperatures in the two towns over the 10-day period?

Select each correct answer.


On average, Town A is several degrees warmer than Town B during this time period.

On average, Town A is several degrees cooler than Town B during this time period.

On average, the temperatures in the two towns are about the same during this time period.

The temperatures in Town A are more variable than the temperatures in Town B.

The temperatures in Town A are less variable than the temperatures in Town B.

The temperatures for both towns vary by about the same amount.

Answers

Answer:

1 and 5 I think

Step-by-step explanation:

Answer:

1 ANS 5 PROBABLY

Step-by-step explanation:

6. Mary earns $7 an hour working at the local kennel. She is trying to save money to buy a
new DVD player that costs $210. Which equation can be used to find the number of hours she
must work before she can buy the DVD player?
A. 7x = 210
B. x + 7 = 210
C. 210- x = 7
D. 210x = 7

Answers

Answer:

a

Step-by-step explanation:

7 times a number will add up to 210

A random sample of 8 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams. Is this in line with the manufacturer’s claim that the average nicotine content does not exceed 3.5 mg? Use a 0.01 level of significance and assume the distribution of nicotine contents to be normal.

Answers

Answer:

0.0793 > 0.01, which means that we have a result in line with the manufacturer's claim.

Step-by-step explanation:

Manufacturer’s claim that the average nicotine content does not exceed 3.5 mg

This means that the null hypothesis is given by:

[tex]H_{0}: \mu = 3.5[/tex]

And the alternate hypothesis is:

[tex]H_{a}: \mu > 3.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

3.5 is tested at the null hypothesis

This means that [tex]\mu = 3.5[/tex]

A random sample of 8 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams.

This means that [tex]n = 8, X = 4.2, \sigma = 1.4[/tex]

Value of the z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{4.2 - 3.5}{\frac{1.4}{\sqrt{8}}}[/tex]

[tex]z = 1.41[/tex]

Pvalue of the test:

We are testing if the mean is higher than 3.5.

The sample mean found is of 4.2, and we have to find the probability of finding a sample mean at least as large as this, which is 1 subtracted by the pvalue of z = 1.41.

z = 1.41 has a pvalue of 0.9207

1 - 0.9207 = 0.0793

0.0793 > 0.01, which means that we have a result in line with the manufacturer's claim.

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