Divide Using Long Polynomial Division (3x^4+7x^3+2x^2+13x+5)÷(x^2+3x+1)

Math
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
++++++
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.
++++++
+++
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.
+
++++++
+
+++
+++
Since the remander is , the final answer is the quotient.
Divide Using Long Polynomial Division (3x^4+7x^3+2x^2+13x+5)÷(x^2+3x+1)

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