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]
2 years ago
7

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

Mathematics
1 answer:
oee [108]2 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
Grant is painting a rectangular board that has a width of 1/3 foot. He has enough paint to cover 3 square feet. If he is able to
Iteru [2.4K]

Answer:

l=9 feet

Step-by-step explanation:

area of rectangle=l*w

3=1/3 l

length=9 feet

3 0
3 years ago
!!!10 POINTS I KNOW IT IS NOT ENOUGH BUT PLEASE ANSWER!
mart [117]

Answer:

B) 376 units squared

Step-by-step explanation:

Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)

Btw saw your other one got deleted •_• *sigh*

4 0
2 years ago
SAFE<br> 42s + 32s + s - 42s
Marrrta [24]
75 S is the answer :)
5 0
2 years ago
Given center C and a point P on a circle, find its equation?
JulijaS [17]
I think it'd be better if you gave us some sort of diagram with it?
6 0
3 years ago
OH GOD PLEASE HELP ME MY BRAIN HURTS!
alukav5142 [94]
Your answer should be 71. :)
8 0
2 years ago
Other questions:
  • WILL GIVE BRAINLIEST Which of the following are true about the given rational equations? CHECK ALL THAT APPLY!
    14·1 answer
  • Fimd the number rule and missing number​
    10·1 answer
  • 16(a - 2) + 3(10 - a)
    11·2 answers
  • Solve for x, -3x + 8 &lt; 23
    13·2 answers
  • 10x-(8 + 7x)<br> SIMPLIFY IT ASAP PLEASE
    9·2 answers
  • PLS HURRY I NEED HELP FAST
    12·1 answer
  • Need help ASAP giving 30 points
    5·1 answer
  • Can anyone help me please :( !
    14·1 answer
  • What is the correct answer to this? Please help! Thank you so much ☺️
    12·2 answers
  • Please help me !!!!!! please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!