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
makvit [3.9K]
2 years ago
15

what is the relation between the remainder and the value of the polynomial at x=r when the polynomial P(x) is divided by a binom

ial of the form x-r??
Mathematics
1 answer:
damaskus [11]2 years ago
8 0

Answer:

The relationship is that the remainder is the value of P(x) at x = r. That is P(r)

Step-by-step explanation:

By the remainder theorem which states that if a linear factor x - a divides a polynomial P(x), then the remainder is the value of P(x) at x = a, that is P(a).

So for our question, when P(x) is divided by x - r, the remainder is obtained when x = r i inserted into P(x), that is P(r) which is the value of P(x) at x = r.

So, the remainder when P(x) is divided by x - r is the value of P(x) at x = r, that is P(r).

You might be interested in
Need help ASAP. Thanks!
Jet001 [13]

Answer: 114

Step-by-step explanation:

To find the perimeter, you will find the distance around the shape by adding the numbers.

The is one missing side  and to find that side you will subtract  10 from 38.

38 - 10 = 28

Now add the them.

28 + 5 +  10 + 26 + 10 + 35 = 114

6 0
3 years ago
Find the exponential function that passes through the points (2,80) and (5,5120)​
juin [17]

Answer:

  y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

  y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

  y1 = a·b^(x1)

  y2 = a·b^(x1)

Divide the second equation by the first:

  y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

  (y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

  a = y1/(b^(x1))

In summary:

  • b = (y2/y1)^(1/(x2 -x1))
  • a = y1·b^(-x1)

__

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

  b = (5120/80)^(1/(5-2)) = ∛64 = 4

  a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

  y = 5·4^x

3 0
3 years ago
I am a multiple of 10. My factors included and even number and an odd number.im greater than 15 and but less than 28. What numbe
Ymorist [56]

Answer:

20

Step-by-step explanation:

Multiples of 10 are: 10, 20, 30, 40, 50, ... and so on.

Only one of them: 20 falls between 15 and 28.

Other conditions are also true for 20 - it has a factor that is an even number (all its even factors are: 2, 4, 10, 20) and it has a factor that is an odd number (all its odd factors are: 1, 5).

8 0
3 years ago
Read 2 more answers
Help me yall this for me aint it.
aleksandrvk [35]

Answer:

20(4 + 5)

Step-by-step explanation:

GCF is just the biggest number each value can be divided by. Here, it's 20, so that goes outside of the parenthesis. Now, what can you multiply by 20 to get 80? 4, so that goes in the second box. What can you multiply by 20 to get 100? 5, so that goes in the last box. You can check your answer by doing 80 + 100 = 180; 20(9) = 180.

6 0
3 years ago
Read 2 more answers
Which of the following in the value of x
kolezko [41]
The answer is c 14 I think
4 0
3 years ago
Read 2 more answers
Other questions:
  • determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2
    12·1 answer
  • we learned today that division expresions that have the same quotient and remainders are not necessarlliy equal to each other.Ex
    7·1 answer
  • Identify the values that should be written to complete the X diagram.
    9·1 answer
  • What is the formula for calculating taxable income?
    13·1 answer
  • Manuel bought a balloon (that is a perfect sphere) with a radius of 2 \text{ cm}2 cm2, start text, space, c, m, end text. He wan
    11·1 answer
  • un tipo de bacteria se duplica cada 6 minutos.¿ cuántas bacterias habia en un comienzo si luego de una hora hay 2048?
    8·1 answer
  • What is the equation of the line -3 and y intercept of 8
    13·1 answer
  • Two tangents <br> Help please
    13·1 answer
  • A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 80% pure anti
    6·1 answer
  • A square room has a floor area of 16 square meters, the height of the room is 5 meters, what is the area of all 4 rooms?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!