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 2 x 4 + x 3 + 3 x 2 − 1 by 2 x − 1 as follows. The divisor can be written as 2 x − 1 = 2 ( x − 1 2 ) . The powers of x are in descending order, write down the coefficient of f ( x ) and zeros are inserted for missing powers, write 1 2 for the divisor x − 1 2 and place 1 2 to the right. 2 1 3 0 − 1 1 2 Carry the left coefficient 2 to the bottom line and multiply it by 1 2 , and place the product 1 under the second coefficient 1 of the top line. Proceed in this similar manner, to find the quotient and remainder

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

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Chapter 15.1, Problem 31E

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To divide: The polynomial 2x4+x3+3x2−1 by 2x−1 using synthetic division.

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Chapter 15.1, Problem 30E

Chapter 15.1, Problem 32E

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Q1: Solve the system x + x = t², x(0) = (9)

Chapter 15 Solutions

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

Ch. 15.1 - Use the factor theorem to determine whether t − 2...Ch. 15.1 - Prob. 2PE Ch. 15.1 - Prob. 3PE Ch. 15.1 - Prob. 4PE Ch. 15.1 - Prob. 1E Ch. 15.1 - Prob. 2E Ch. 15.1 - In Exercises 1–4, make the given changes in the...Ch. 15.1 - Prob. 4E Ch. 15.1 - Prob. 5E Ch. 15.1 - Prob. 6E

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To divide: The polynomial 2x4+x3+3x2−1 by 2x−1 using synthetic division.

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Chapter 15 Solutions