Find the Remainder (x^5+32)÷(x+2)

Math
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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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.
++
++++++
+
++
++
+
++
++
Since the remander is , the final answer is the quotient.
Since the final term in the resulting expression is not a fraction, the remainder is .
Find the Remainder (x^5+32)÷(x+2)

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