1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arada [10]
1 year ago
5

What is the remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4)?

Mathematics
1 answer:
anyanavicka [17]1 year ago
4 0

The remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4) is 528

<h3>How to determine the remainder?</h3>

The polynomial function is given as:

P(x) = 3x^3 + 27x^2 + 18x - 168

The dividend is given as:

x - 4

Set the dividend to 0

x - 4 = 0

Add 4 to both sides

x = 4

Substitute x = 4 in P(x) = 3x^3 + 27x^2 + 18x - 168

P(4) = 3 * 4^3 + 27 * 4^2 + 18 * 4 - 168

Evaluate

P(4) = 528

Hence, the remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4) is 528

Read more about remainder theorem at:

brainly.com/question/13328536

#SPJ1

You might be interested in
1. What is the probability of getting a number greater than 2 on two rolls of a six-sided die both times?
prisoha [69]

Answer:

For this question, the options are written the wrong way. In each of the answers below, the correct form of the question will be added.  

The answers are:

1. e) 4/9

2. a) 1/16

3. 980 girls

4. c) 2/3

5. d) 1/13

6. a) 42 boys

7. d) 1/21

8. b) 1/6

Step-by-step explanation:

1. What is the probability of getting a number greater than 2 on two rolls of a six-sided die both times?

a) 4/3

b) 2/6

c) 4/6

d) 3/6

e) 4/9

The correct answer is e) 4/9 because the probability of getting a number greater than 2 in two rolls is 4/6 * 4/6 =16/36 = 4/9

2. A fair coin is tossed four times. What is the probability that it will be heads every time?

a) 1/16

b) 4/2

c) 2

d) 4/16

e) 1

The correct answer is a) 1/16 because the probability of each time that the coin is tossed is 1/2, and for 4 tosses is 1/2*1/2*1/2*1/2 = 1/16

3. The ratio of the number of girls to the number of boys was 2 to 5. If 2,450 students were present, how many were girls and how many were boys?

The correct answer is 980 girls, because 2450*2/5 = 980

4. A die is rolled twice. What is the probability of rolling a 5 or getting an even number?

a) 3/1

b) 1/12

c) 2/3

d) 1/3

If the die is rolled twice there are 12 possible outcomes and 8 of those outcomes can be 5 or an even number. The probability is 8/12 = 2/3

5. If one card is drawn from a standard deck, what is the probability of getting a jack?

a) 4/13

b) 1/52

c) 52

d) 1/13

e) 4

In a standard deck, there are 13 jack cards, the probability of getting a jack the first time is 1/13

6. There are 210 boys trying out for football. If 20% made the team, how many were chosen?

a) 42

b) 10

c) 4200

d) 105

e) 20

The number of boys that will be picked for the team is 210*20% = 42

7. From 42 boys who made the team, one will be chosen as kicker and one will be chosen as quarterback. What is the probability of being chosen as the kicker or the quarterback?

a) 2/21

b) 1/42

c) 2

d) 1/21

e) 42

The probability of getting picked for one of the 2 positions is 2/42 = 1/21

8. Two dice are rolled. There are 36 possible outcomes of rolling two dice. What is the probability of getting a total of seven on one roll?

a) 7

b) 1/6

c) 0

d) 7/36

e) 1/36

There are 6 ways of getting a sum of 7 tossing 2 dice, 1+6, 6+1, 2+5, 5+2, 3+4, 4+3. The probability is 6/36 = 1/6

3 0
3 years ago
What is the equation of the line in slope-intercept form?
stepladder [879]
Slope intercept form is y=mx+b where m is the slope and b is the y part of an intercept where x is 0. So the equation for slope (y1-y2)/(x1-x2) with y1 and y2 the y values of 2 points and x1 and x2 those points' x values, so if you would use the points (-2,0) and (0,5) (I used intercepts because they are easier, but you can use any points on the line) you would get (0-5)/(-2-0) and then 5/2 for the slope. plugging in then you get y=5/2*x+5
6 0
3 years ago
Read 2 more answers
a calculator is listed for $110 and is on clearence for 35% off. sales tax is 7%. what is the cost of the calculator
goldfiish [28.3K]

Answer:

$76.51

Step-by-step explanation:

The price after discounting is (1.00 - .35)($110), or 0.65($110) = $71.50.

The price after 7% sales tax has been added in is

(1.00 + 0.07)($71.50) = $76.51.

6 0
3 years ago
Read 2 more answers
Pls Mark me brainliest ​
alexira [117]

Answer: What is your question?

7 0
3 years ago
Can the square of an integer be a negative number? Explain.
ivolga24 [154]

Answer: how ever no negative number can really have a square root however it is possile to wokr with a more incluesive set of number so i belive no

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Convert the following percents to a decimal.<br> - 30%<br> - 3%<br> - 300%<br> - .3%
    5·2 answers
  • Which formula should be used to find the circumference of a circle
    5·1 answer
  • A number is multiplied by 3. If 3 is subtracted from the product you get 24. What is the number?
    7·1 answer
  • -27=2x^2-4 PLEASE HELP ASAP
    5·2 answers
  • A biker travels 5 feet in 0.5 seconds. At this exact speed, how far will the biker travel in a minute?
    15·1 answer
  • What's the perimeter of the rectangle shown below
    8·1 answer
  • My teacher never explained how to do this so can someone help me?
    7·1 answer
  • Write a poem about linear functions.
    14·1 answer
  • An engineer wants to know if the average amount of energy used in his factory per day has changed since last year. The factory u
    11·1 answer
  • Which value from the set
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!