Divide (x^3+6x^2+11x+6)÷(x^2+4x+3)

Math
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.
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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.
+
+++++
+++
+++
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 (x^3+6x^2+11x+6)÷(x^2+4x+3)

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