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Synthetic. Division. Let’s look at how to do this using the example:. In order to use synthetic division these two things must happen:. #1. There must be a coefficient for every possible power of the variable. #2. The divisor must have a leading coefficient of 1.

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Presentation Transcript
slide1

Synthetic

Division

slide2

Let’s look at how to do this using the example:

In order to use synthetic division these two things must happen:

#1

There must be a coefficient for every possible power of the variable.

#2

The divisor must have a leading coefficient of 1.

slide3

Step #1: Write the terms of the polynomial so the degrees are in descending order.

slide4

Step #2: Write the constant a of the divisor x- a to the left and write down the coefficients.

slide5

Step #4: Multiply the first coefficient by r (3*5).

Step #3: Bring down the first coefficient, 5.

slide6

Add the column

Step #5: After multiplying in the diagonals, add the column.

slide7

Add

Multiply the diagonals, add the columns.

slide8

Add Columns

Add Columns

Add Columns

Add Columns

Step #7: Repeat the same procedure as step #6.

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Step #8: Write the quotient.

The numbers along the bottom are coefficients of the power of x in descending order, starting with the power that is one less than that of the dividend.

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The quotient is:

Remember to place the remainder over the divisor.