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
Y_Kistochka [10]
3 years ago
7

If f(p) divided by x-p and x-q have the same remainder

Mathematics
1 answer:
oee [108]3 years ago
3 0
Hello,


x^2-y^2=(x+y)(x-y)
x^3-y^3=(x-y)(x²+xy+y²)

Let's use Horner's division

.........|a^3|a^2.|a^1..........|a^0
.........|1....|5....|6..............|8....
a=p...|......|p....|5p+p^2....|6p+5p^2+p^3
----------------------------------------------------------
.........|1....|5+p|6+5p+p^2|8+6p+5p^2+p^3

The remainder is 8+6p+5p^2+p^3 or 8+6q+5q^2+q^3


Thus:
8+6p+5p^2+p^3 = 8+6q+5q^2+q^3
==>p^3-q^3+5p^2-5q^2+6p-6p=0
==>(p-q)(p²+pq+q²)+5(p-q)(p+q)+6(p-q)=0
==>(p-q)[p²+pq+q²+5p+5q+6]=0 or p≠q
==>p²+pq+q²+5p+5q+6=0

And here, Mehek are there sufficients explanations?
You might be interested in
If f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,<br> find f(x) – g(x).<br><br> Answer: x^2 - 4x + 3
Nadusha1986 [10]

Answer:

f(x) – g(x) = x^2 - 4x + 3

Step-by-step explanation:

f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,

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

Distribute the minus sign

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

  Combine like terms

f(x) – g(x) = x^2 - 4x + 3

 

5 0
2 years ago
Please help will give brainliest!
Ipatiy [6.2K]

Answer:

Should be 1 if im not wrong Then Mark Me brainliest

Step-by-step explanation:

a negative times a neg equals a posative

Neg x pos = neg

pos x neg = neg

pos x pos = pos

neg x neg = pos

so if there greater then over neg<, >,=

You would look at the problem for given f(x)=

x → -1 and neg times neg more or less

-1 x -1 = 1

7 0
3 years ago
Tom brought 2 cakes to class for the
jok3333 [9.3K]
Your answer is gonna be 1/25
5 0
2 years ago
You put $800 in an account that earns 4% simple interest. Find the total amount in your account after each year for 3 years. (Pl
alexandr402 [8]
To get 4% of 800 you times 800 by 4 and divide it by 100. Once you have that amount you add it to 800 to find the amount you will have in your bank the first year. To get the next year's amount you then get 4% of 832(because after the first year you have more than $800) and then add the 4% to 832, that is the answer for the second year. To find the third year's amount you get 4% of the new amount (last year's total) and add it to last year's total, that is your total for the third year. So the first year will be: (800x4÷100)+800 =32+800 =832 The second year will be: 832+(832x4÷100) =832+33.28 =865.28 The third year will be: (865.28×4÷100)+865.28 =34.61(rounded off)+865.28 =899.89
3 0
3 years ago
Read 2 more answers
PLZ HELP AND SHOW UR WORK IF POSSIBLE . DON'T ANSWER IF U DON'T KNOW AND PLZ ANSWER ALL THREE PARTS
AVprozaik [17]
Part A: 
There are 8 possible outcomes.
HHH
TTT
HTH
THT
TTH
HHT
THH
HTT

Part B:
There is 2 outcomes that consist of all head or all tails.

Part C:
You would expect about 6 students to get all head or all tails.

Hope this helps c:



6 0
3 years ago
Other questions:
  • The graph if a function is always a straight line true or false
    5·1 answer
  • Find an ordered pair x,y 4x-y=5
    12·1 answer
  • Jasmine is going on a diet and wants to lose 5 pounds a month. She currently weighs 180 pounds. Write and solve an equation to d
    13·1 answer
  • a barrel had 20 liters of water. water leaked out from the barrel at a constant rate. after 24 hours, 14 liters of water was lef
    10·1 answer
  • Someone answer ASAP please
    10·2 answers
  • 7321694 is divisible by???????? PLEASE HELP
    15·1 answer
  • Which unit would be best for measuring the weight of a boat
    9·1 answer
  • Darryl enlarged the size of a rectangle to a
    13·1 answer
  • The price of a Blu-Ray disc player is $175. With the sales tax at
    5·1 answer
  • The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph? ​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!