Explanation Procedure used: Procedure for Synthetic Division: “1. Write the coefficients of f ( x ) . Be certain that the powers are in descending order and that zeros are inserted for missing powers. 2. Carry down the left coefficient, then multiply it by r , and place this product under the second coefficient of the top line. 3. Add the two numbers in the second column and place the result below. Multiply this sum by r and place the product under the third coefficient of the top line. 4. Continue this process until the bottom row has as many numbers as the top row”. Calculation: Divide the polynomial x 4 − 6 x 3 + x − 8 by x − 3 as follows. The powers of x are in descending order, write down the coefficient of f ( x ) and zeros are inserted for missing powers, write 3 for the divisor x − 3 and place 3 to the right. 1 − 6 0 1 − 8 3 Carry the left coefficient 1 to the bottom line and multiply it by 3 , and place the product 3 under the second coefficient − 6 of the top line. Proceed in this similar manner, to find the quotient and remainder

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Author: Washington

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Chapter 15, Problem 18RE

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To divide: The polynomial x4−6x3+x−8 by x−3 using synthetic division.

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Chapter 15, Problem 17RE

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Chapter 15 Solutions

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To divide: The polynomial x 4 − 6 x 3 + x − 8 by x − 3 using synthetic division.

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Chapter 15 Solutions