# 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.
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
 + + + + + + + - -
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.
 - + - + + + + + + + + - - - + + + + + - - - + + + + + - - -
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