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Let P() = 2- 2x2+ 3x-4x. Use synthetic division to find the value P(2i).

Let P() = 2- 2x2+ 3x-4x. Use synthetic division to find the value P(2i).

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:** Let \( P(x) = 2 - 2x^2 + 3x^5 - 4x^3 \). Use synthetic division to find the value \( P(2i) \). **Options:** a. \( 10 - 128i \) b. \( 76 + 128i \) c. \( 10 + 128i \) d. \( 138 \) e. none of these --- **Instructions for Students:** 1. Employ synthetic division as a technique to evaluate the polynomial \( P(x) \) at \( x = 2i \). 2. Analyze the options provided and select the correct value of \( P(2i) \) from the given choices. 3. Engage in further practice by listing all possible rational zeros using the Rational Root Theorem (additional instruction indicated in the problem). This exercise aims to enhance your skills in polynomial evaluation, complex numbers, and synthetic division.
Transcribed Image Text:**Problem Statement:** Let \( P(x) = 2 - 2x^2 + 3x^5 - 4x^3 \). Use synthetic division to find the value \( P(2i) \). **Options:** a. \( 10 - 128i \) b. \( 76 + 128i \) c. \( 10 + 128i \) d. \( 138 \) e. none of these --- **Instructions for Students:** 1. Employ synthetic division as a technique to evaluate the polynomial \( P(x) \) at \( x = 2i \). 2. Analyze the options provided and select the correct value of \( P(2i) \) from the given choices. 3. Engage in further practice by listing all possible rational zeros using the Rational Root Theorem (additional instruction indicated in the problem). This exercise aims to enhance your skills in polynomial evaluation, complex numbers, and synthetic division.
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