Find the Remainder (2x^6+x^2+2)/(x+2)

Find the Remainder (2x^6+x^2+2)/(x+2)
To calculate the remainder, first divide the polynomials.
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Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
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Divide the highest order term in the dividend by the highest order term in divisor .
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Multiply the new quotient term by the divisor.
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++
The expression needs to be subtracted from the dividend, so change all the signs in
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--
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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--
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Pull the next terms from the original dividend down into the current dividend.
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--
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Divide the highest order term in the dividend by the highest order term in divisor .
-
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--
-+
Multiply the new quotient term by the divisor.
-
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--
-+
--
The expression needs to be subtracted from the dividend, so change all the signs in
-
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--
-+
++
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-
+++++++
--
-+
++
+
Pull the next terms from the original dividend down into the current dividend.
-
+++++++
--
-+
++
++
Divide the highest order term in the dividend by the highest order term in divisor .
-+
+++++++
--
-+
++
++
Multiply the new quotient term by the divisor.
-+
+++++++
--
-+
++
++
++
The expression needs to be subtracted from the dividend, so change all the signs in
-+
+++++++
--
-+
++
++
--
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-+
+++++++
--
-+
++
++
--
-
Pull the next terms from the original dividend down into the current dividend.
-+
+++++++
--
-+
++
++
--
-+
Divide the highest order term in the dividend by the highest order term in divisor .
-+-
+++++++
--
-+
++
++
--
-+
Multiply the new quotient term by the divisor.
-+-
+++++++
--
-+
++
++
--
-+
--
The expression needs to be subtracted from the dividend, so change all the signs in
-+-
+++++++
--
-+
++
++
--
-+
++
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-+-
+++++++
--
-+
++
++
--
-+
++
+
Pull the next terms from the original dividend down into the current dividend.
-+-
+++++++
--
-+
++
++
--
-+
++
++
Divide the highest order term in the dividend by the highest order term in divisor .
-+-+
+++++++
--
-+
++
++
--
-+
++
++
Multiply the new quotient term by the divisor.
-+-+
+++++++
--
-+
++
++
--
-+
++
++
++
The expression needs to be subtracted from the dividend, so change all the signs in
-+-+
+++++++
--
-+
++
++
--
-+
++
++
--
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-+-+
+++++++
--
-+
++
++
--
-+
++
++
--
-
Pull the next terms from the original dividend down into the current dividend.
-+-+
+++++++
--
-+
++
++
--
-+
++
++
--
-+
Divide the highest order term in the dividend by the highest order term in divisor .
-+-+-
+++++++
--
-+
++
++
--
-+
++
++
--
-+
Multiply the new quotient term by the divisor.
-+-+-
+++++++
--
-+
++
++
--
-+
++
++
--
-+
--
The expression needs to be subtracted from the dividend, so change all the signs in
-+-+-
+++++++
--
-+
++
++
--
-+
++
++
--
-+
++
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-+-+-
+++++++
--
-+
++
++
--
-+
++
++
--
-+
++
+
The final answer is the quotient plus the remainder over the divisor.
Since the last term in the resulting expression is a fraction, the numerator of the fraction is the remainder.
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Name

Name one hundred eighty-eight million six hundred seventy-two thousand six hundred seventy-one

Interesting facts

  • 188672671 has 4 divisors, whose sum is 205824744
  • The reverse of 188672671 is 176276881
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 46
  • Digital Root 1

Name

Name one billion eight hundred three million eight hundred eighteen thousand one hundred three

Interesting facts

  • 1803818103 has 16 divisors, whose sum is 2417390976
  • The reverse of 1803818103 is 3018183081
  • Previous prime number is 661

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 33
  • Digital Root 6

Name

Name three hundred forty-seven million nine hundred eight thousand nine hundred sixty-four

Interesting facts

  • 347908964 has 16 divisors, whose sum is 843010308
  • The reverse of 347908964 is 469809743
  • Previous prime number is 13

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 50
  • Digital Root 5