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(x1000 - x500 - 1)/(x - 1)

(x1000 + 0x999 + ... + 0x501 - x500 + ... + 0x - 1)/(x - 1)

Now you can find the remainder, if you like...

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Q: How would you find the remainder when x1000 plus x500 - 1 is divided by x-1?
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Find the quotient and remainder for 52 divided 8?

6.5


How do you divide unknown polynomials?

more info: An unknown polynomial f(x) of degree million yields a remainder of 1 when divided by x - 1, a remainder of 3 when divided by x - 3, a remainder of 21 when divided by x - 5. Find the remainder when f(x) is divided by (x - 1)(x - 3)(x - 5).


Find the smallest number which leaves a remainder of 3 when divided by 12 and leaves a remainder of 6 when divided by15?

12*1 + 3 = 15 12*2 + 3 = 27 12*4 + 3 = 51 when 51 divided by 15 gives the remainder as 6.


What 2 numbers don't belong 67 72 82 95 77 53 97 and 87?

This is an extremely poor question. There are 28 pairs of numbers and, in less than 10 minutes, I could find reasons why 17 pair were different from the other numbers in the set. A bit more time and I am sure I could do the rest. So here they are: 53 and 72: leave a remainder of 15 when divided by 19. 53 and 77: leave a remainder of 5 when divided by 12. 53 and 82: leave a remainder of 24 when divided by 29. 53 and 87: leave a remainder of 2 when divided by 17. 53 and 95: leave a remainder of 11 when divided by 21. 53 and 97: leave a remainder of 9 when divided by 11. 67 and 95: leave a remainder of 11 when divided by 28. 67 and 87: leave a remainder of 7 when divided by 17. 67 and 97: leave a remainder of 7 when divided by 30. 72 and 82: leave a remainder of 0 when divided by 2 (are even). 72 and 87: leave a remainder of 0 when divided by 3 (multiples of 3). 72 and 95: leave a remainder of 3 when divided by 23. 72 and 97: leave a remainder of 22 when divided by 25. 77 and 95: leave a remainder of 5 when divided by 9. 77 and 97: leave a remainder of 17 when divided by 20. 82 and 95: leave a remainder of 4 when divided by 13. 87 and 95: leave a remainder of 7 when divided by 8.


What is the smallest number which when divided by 46 or 8 has a remainder of three?

What you have to do here is find the least common multiple of 46 and 8, then add 3.

Related questions

How do you find the remainder of 245 divided by 7?

35


Find the remainder when 21990 is divided by 1990?

11.0503


What is the remainder when you find 638 divided by 5?

127.6


What is the remainder of 38 divided by 4?

To find the remainder you can do the 'chunking' method. This would leave you with a remainder of 2 because 4x9=36 38-36=2


Find the quotient and remainder for 52 divided 8?

6.5


Does 4554 divided by 9 have a remander?

506


How do you divide unknown polynomials?

more info: An unknown polynomial f(x) of degree million yields a remainder of 1 when divided by x - 1, a remainder of 3 when divided by x - 3, a remainder of 21 when divided by x - 5. Find the remainder when f(x) is divided by (x - 1)(x - 3)(x - 5).


How do you find even number?

If it leaves no remainder when divided by 2 then it is an even number.


Find the smallest number which leaves a remainder of 3 when divided by 12 and leaves a remainder of 6 when divided by15?

12*1 + 3 = 15 12*2 + 3 = 27 12*4 + 3 = 51 when 51 divided by 15 gives the remainder as 6.


What 2 numbers don't belong 67 72 82 95 77 53 97 and 87?

This is an extremely poor question. There are 28 pairs of numbers and, in less than 10 minutes, I could find reasons why 17 pair were different from the other numbers in the set. A bit more time and I am sure I could do the rest. So here they are: 53 and 72: leave a remainder of 15 when divided by 19. 53 and 77: leave a remainder of 5 when divided by 12. 53 and 82: leave a remainder of 24 when divided by 29. 53 and 87: leave a remainder of 2 when divided by 17. 53 and 95: leave a remainder of 11 when divided by 21. 53 and 97: leave a remainder of 9 when divided by 11. 67 and 95: leave a remainder of 11 when divided by 28. 67 and 87: leave a remainder of 7 when divided by 17. 67 and 97: leave a remainder of 7 when divided by 30. 72 and 82: leave a remainder of 0 when divided by 2 (are even). 72 and 87: leave a remainder of 0 when divided by 3 (multiples of 3). 72 and 95: leave a remainder of 3 when divided by 23. 72 and 97: leave a remainder of 22 when divided by 25. 77 and 95: leave a remainder of 5 when divided by 9. 77 and 97: leave a remainder of 17 when divided by 20. 82 and 95: leave a remainder of 4 when divided by 13. 87 and 95: leave a remainder of 7 when divided by 8.


How do you find number is even or odd?

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.


What is the remainder of 53 divded by 9?

The remainder is 8. To find the remainder when a number is divided by 9, add the digits together; if this sum has more than 1 digit, repeat until one digit remains. This digit is the remainder, unless it is 9 in which case the remainder is 0. examples: remainder 53 → 5 + 3 = 8 → remainder is 8 when 53 is divided by 9. remainder 126 → 1 + 2 + 6 = 9 → remainder is 0, ie no remainder, 126 is divisible by 9. remainder 258 → 2 + 5 + 8 = 15 → 1 + 5 = 6 → remainder is 6 when 258 is divided by 9.