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
andrey2020 [161]
3 years ago
12

You synthetic division to find P(3) for p(x)=x^4-6x^3-4x^2-6x-2

Mathematics
1 answer:
klio [65]3 years ago
5 0
By the polynomial remainder theorem, the remainder upon dividing p(x) by x-3 will be the value of p(3).

... | 1 ... -6 ... -4 ... -6 .... -2
3. | .. ...  3 ... -9 ... -39 .. -135 
--------------------------------------
... | 1 ... -3 ... -13 . -45 .. -137

So you have

\dfrac{x^4-6x^3-4x^2-6x-2}{x-3}=x^3-3x^2-13x-45-\dfrac{137}{x-3}

which means p(3)=-137.
You might be interested in
Can Anyone help me with 1-8
Maksim231197 [3]
1-8=1 easy math but heres help
3 0
2 years ago
From an airplane flying over the ocean, the angle of depression to a submarine lying under the surface if 24 degrees 10 minutes.
forsale [732]
I think is 10 m/ s per sec
4 0
2 years ago
James has 3 pairs of running shoes for every 4 pairs of basketball shoes. If he has 12 pairs of basketball shoes, how many pairs
GaryK [48]
If James has 12 pairs of basketball shoes, then the ratio would be 3:4 which would stop at 3:12. Then the individual ratios would be 3:4, 6:8, and 9:12

So James has 9 pairs of running shoes
7 0
3 years ago
Consider the following functions. f={(−4,−1),(1,1),(−3,−2),(−5,2)} and g={(1,1),(2,−3),(3,−1)}: Find (f−g)(1).
fenix001 [56]

Answer:

0

Step-by-step explanation:

Subtraction of functions has the property:

  • (f−g)(1) = f(1) - g(1)

f={(−4,−1),(1,1),(−3,−2),(−5,2)}  has (1,1) means that f maps 1 to 1, therefore f(1) = 1

g={(1,1),(2,−3),(3,−1)}  has (1,1), means that g maps 1 to 1, therefore g(1)=1

As a Result, since (f−g)(1) = f(1) - g(1), we have (f−g)(1) = 1-1=0

7 0
3 years ago
A dog is leashed to the corner of a house with an 18-foot leash. How much running area does the dog have? Round your answer to t
Lana71 [14]

Answer:

763

Step-by-step explanation:

3/4 x pi x 18^2 = 763.407

6 0
3 years ago
Other questions:
  • <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%2B10%7D%3D%20x-2%20" id="TexFormula1" title=" \sqrt{x+10}= x-2 " alt=" \sqrt{x+
    11·1 answer
  • a living room wall is 13 feet long. How far from the corner would you hace to the edge of a 3ft 8in shelf for it to be centered
    5·1 answer
  • Write 42,63 as product of their prime factors
    10·1 answer
  • What are the approximate solutions of 7x^2 4x-9=0??
    14·1 answer
  • Which equation describes the same line as y-5=-2(x+4)
    14·1 answer
  • 1. what is the x of "5x - 4 = 3x + 8"
    13·1 answer
  • Which of the following shows the correct order of the numbers?<br> ..0.8
    7·1 answer
  • Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression which
    7·2 answers
  • 3. Write an expression to show h decreased by 13.​
    7·1 answer
  • John can eat a sixth of a pizza in two minutes. It takes 3 minutes for Billy to eat one quarter of the same pizza. If John and B
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!