Divide Using Synthetic Division Use synthetic division to find the result when x^4+6x^3+13x^2+16x+12 is divided by x+2

Use synthetic division to find the result when is divided by

Step 1
Write the problem as a mathematical expression.
Use synthetic division to find the result when

Step 2
Place the numbers representing the divisor and the dividend into a division-like configuration.
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Step 3
The first number in the dividend is put into the first position of the result area (below the horizontal line).
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Step 4
Multiply the newest entry in the result by the divisor and place the result of under the next term in the dividend .
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Step 5
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
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Step 6
Multiply the newest entry in the result by the divisor and place the result of under the next term in the dividend .
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Step 7
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
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Step 8
Multiply the newest entry in the result by the divisor and place the result of under the next term in the dividend .
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Step 9
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
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Step 10
Multiply the newest entry in the result by the divisor and place the result of under the next term in the dividend .
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Step 11
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
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Step 12
All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

Step 13
Simplify the quotient polynomial.


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