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
Alika [10]
3 years ago
9

Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
You might be interested in
Jack used 1 2 of a bag of okra to make 1 4 of a gallon of jambalaya. If Jack's recipe is for 1 gallon of jambalaya, how much okr
Solnce55 [7]

Answer:

4 bags of okra

Step-by-step explanation:

To find the unit rate: multiply the numerator by the reciprocal of the denominator.

unit rate =

1/2 divided by 1/4

= 1/2× 4/1

=4/2

= 2 bags per gallon

Therefore, double the recipe: 2 × 2 = 4 bags of okra

3 0
3 years ago
10 divided 2-3(5times0)
artcher [175]

Answer:

5

Step-by-step explanation:

10÷2-3 (5×0)

  • 10÷2-3×0
  • 5-0
  • 5
3 0
4 years ago
The graph shows the temperature of a liquid that is being heated during an<br> experiment.
Simora [160]

Answer:

#4 bottom right

Step-by-step explanation:

It is being changed at 4 degrees per minute so in 10 minutes it would be 40 not 52

3 0
3 years ago
How much money has to be invested at 2.3% interest compounded continuously to have $41,000 after 17 years
k0ka [10]
We have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years. The formula is: A = P * ( 1 + r )^t, where A = $41,000, r = 0.023 and t = 17. 41,000 = P * ( 1 + 0.023 ) ^17; 41,000 = P * ( 1.023 )^17; 41,000 = P * 1.4719; P = 41,000 : 1.4719; P = 27,855.15. Answer: It has to be invested <span>$27,855. </span>
5 0
4 years ago
Read 2 more answers
Please please ASAP ASAP please ASAP thank you so much bye no links or files
sleet_krkn [62]

Answer:it looks like 90degrees from here so 45 since the middle line is halving it

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Twenty different statistics students are randomly selected. For each of​ them, their body temperature ​(degrees​C) is measured a
    13·1 answer
  • What is the length of SR?<br><br> 9 units<br> 12 units<br> 15 units<br> 18 units
    12·2 answers
  • a kite is flying at an angle of 63° with the ground. if all 250 feet of string are out, and there is no sag in the string, how h
    6·1 answer
  • You earn three dollars an hour as a waitress after working three hours do you earn $12, five dollars, and seven dollars in tips.
    9·1 answer
  • Find the mean and the median of the data set. 31,32,36,31,30,35,33,30.
    5·2 answers
  • manny has an investment account which compounds interest continuously at a rate of 3.1%. He puts $7500 into the account initiall
    8·1 answer
  • Urgent help needed, thanks!
    15·2 answers
  • Giving equation y equals 1/3 x -4 what is the slope and the y-intercept<br>​
    15·2 answers
  • Which of the following pairs of functions are inverses of each other?
    8·2 answers
  • A new fitness center opens with 120 members. Every month the fitness center increases the number of members by 40 members. How m
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!