Explanation Procedure used: 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: If V = 2 is zero of f ( V ) , then V − 2 is zero of f ( V ) and f ( V ) = 0 . Find the remainder of V 3 − 6 V 2 + 12 V = 8 . Rewrite it as V 3 − 6 V 2 + 12 V − 8 = 0 If the remainder is zero when divide V 3 − 6 V 2 + 12 V − 8 by V − 2 , then V = 2 is zero of V 3 − 6 V 2 + 12 V = 8 . Divide the polynomial V 3 − 6 V 2 + 12 V − 8 by V − 2 as follows. The powers of V are in descending order, write down the coefficient of f ( V ) and zeros are inserted for missing powers, write 2 for the divisor V − 2 and place 2 to the right

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 15.1, Problem 59E

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Whether V=2 is a solution of V3−6V2+12V=8 using synthetic division.

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Chapter 15.1, Problem 58E

Chapter 15.1, Problem 60E

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Basic Technical Mathematics with Calculus (11th Edition)

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Chapter 15 Solutions