Using a given zero to write a polynom For the polynomial below, 3 is a zero. f(x) =x 2. 9x + 25x - 21 - Express f (x) as a product of linear factors. f(2) = [ = %3D
Using a given zero to write a polynom For the polynomial below, 3 is a zero. f(x) =x 2. 9x + 25x - 21 - Express f (x) as a product of linear factors. f(2) = [ = %3D
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 a Given Zero to Write a Polynomial**
For the polynomial below, 3 is a zero.
\[ f(x) = x^3 - 9x^2 + 25x - 21 \]
**Task:** Express \( f(x) \) as a product of linear factors.
**Hint:** Knowing that 3 is a zero implies \( f(3) = 0 \). Use this information to help factor the polynomial, starting with \((x - 3)\) as one of the factors. Consider using synthetic or long division to find the other factors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29ce3a4c-cb07-4c4c-bb91-a57b2d1f76d3%2F94ea1a52-0205-45eb-997e-aade6236caf1%2Fogiame_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Using a Given Zero to Write a Polynomial**
For the polynomial below, 3 is a zero.
\[ f(x) = x^3 - 9x^2 + 25x - 21 \]
**Task:** Express \( f(x) \) as a product of linear factors.
**Hint:** Knowing that 3 is a zero implies \( f(3) = 0 \). Use this information to help factor the polynomial, starting with \((x - 3)\) as one of the factors. Consider using synthetic or long division to find the other factors.
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