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Use the Factor Theorem to determine whether x -c is a factor of f(x). x-10 f(x)=x4-21x2-100; A) Yes f(x)=7x4+20x3-3x²+x-3; x+3 A) Yes B) No B) No

Use the Factor Theorem to determine whether x -c is a factor of f(x). x-10 f(x)=x4-21x2-100; A) Yes f(x)=7x4+20x3-3x²+x-3; x+3 A) Yes B) No B) No

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Using the Factor Theorem to Determine Factors** This exercise utilizes the Factor Theorem to ascertain if \(x - c\) is a factor of \(f(x)\). 1. **Problem 1:** - Given: \( f(x) = x^4 - 21x^2 - 100 \); \( x - 10 \) - Options: - A) Yes - B) No 2. **Problem 2:** - Given: \( f(x) = 7x^4 + 20x^3 - 3x^2 + x - 3 \); \( x + 3 \) - Options: - A) Yes - B) No In this exercise, to determine if \(x - c\) is a factor of \(f(x)\), substitute \(c\) into the polynomial \(f(x)\). If the result is zero, then \(x - c\) is a factor.
Transcribed Image Text:**Using the Factor Theorem to Determine Factors** This exercise utilizes the Factor Theorem to ascertain if \(x - c\) is a factor of \(f(x)\). 1. **Problem 1:** - Given: \( f(x) = x^4 - 21x^2 - 100 \); \( x - 10 \) - Options: - A) Yes - B) No 2. **Problem 2:** - Given: \( f(x) = 7x^4 + 20x^3 - 3x^2 + x - 3 \); \( x + 3 \) - Options: - A) Yes - B) No In this exercise, to determine if \(x - c\) is a factor of \(f(x)\), substitute \(c\) into the polynomial \(f(x)\). If the result is zero, then \(x - c\) is a factor.
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