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DIA [1.3K]
3 years ago
10

Let P be a non zero polynomial such that P(1+x)=P(1−x) for all real x, and P(1)=0. Let m be the largest integer such that (x−1)

m divides P(x) for all such P(x). Then m equals
Mathematics
1 answer:
marin [14]3 years ago
4 0

Answer:

m = 0, P(3)/2, P(4)/6, P(5)/12 ..........

Step-by-step explanation:

For non zero polynomial, that is all real x as follows:

x = 1, 2, 3, 4 ............

Using, P(1 + x) = P(1 - x)

For x = 1: P(2) = P(0) = 1

For x = 2: P(3) = P(-1) = 2

Hence, P(x)/m(x - 1) can be solved as follows:

When = 1

P(2)/0 = 1

∴ m = 0

When x = 2

P(3)/m = 2

∴ m = P(3)/2

When x = 3

P(4)/2m = 3

∴ m = P(4)/6

When x = 4

P(5)/3m =  4

∴ m = P(5)/12

Hence, m = 0, P(3)/2, P(4)/6, P(5)/12......

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Sergio [31]
Remember: i² = -1

\frac{5+4i}{6+8i}=  \frac{(5+4i)(6-8i)}{(6+8i)(6-8i)}= \frac{30-40i+24i-32i^2}{36-64i^2}=  \frac{30-16i-32(-1)}{36-64(-1)}= \\ \\ = \frac{30-16i+32}{36+64}= \frac{62-16i}{100}=0.62-0.16i

Hope this helps
7 0
3 years ago
What is the answer to x? Help ASAP
Brut [27]

Answer:

12

Step-by-step explanation:

2x + 24° = 4x ( being vertically opposite angles)

4x - 2x = 24°

2x = 24°

x = 24° / 2

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Hope it will help :)

3 0
3 years ago
Show why it's not and find the 10 combinations that will be in both groups?
hammer [34]

Answer:

Step-by-step explanation:

Given that there are 3 events as

rolling 3 dice, are the events A: sum divisible by 3 and B: sum divisible 5

The sample space will have

(1,1,1)...(6,6,6)

Sum will start with 3 and end with 18

Sum divisible by 3 are 3,6,9..18

Sum divisible by 5 are 5,10,....15

The common element is 15

Hence these two events are not mutually exclusive.

3 0
3 years ago
A parachute speed during a free fall reaches117 miles per hour What is the speed in feet per second At the speed how many feet w
qwelly [4]

Answer:

Speed is 171.6 ft/s and distance is 1716 feet

Step-by-step explanation:

Given that,

The speed of a parachute = 117 miles per hour.

1 mph = 1.47 ft/s

117 mph = 171.6 ft/s

We need to find the distance it travel during 10 s. We know that the distance covered is equal to the product of speed and time taken. So,

d = vt

d=171.6\ ft/s\times 10\ s\\\\=1716\ \text{feet}

Hence, this is the required solution.

3 0
2 years ago
4.875 = d - 2.125 <br><br>what do I do here?​
spayn [35]

Answer:

d=7

Step-by-step explanation:

7-2.125= 4.875

7 is your answer as it balances both sides of the equation.

i got seven by adding 2.125. to 4.875

4 0
3 years ago
Read 2 more answers
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