Priya wants to sketch a graph of the polynomial f defined by ƒ(x) = x³ + 5x² + 2x - 8. She knows f(1) = 0, so she suspects that (x − 1) could be a factor of x³ + 5x² + 2x − 8 and writes (x³ +5x² + 2x − 8) = (x − 1)(?x²+?x+?) and draws a diagram.
Priya wants to sketch a graph of the polynomial f defined by ƒ(x) = x³ + 5x² + 2x - 8. She knows f(1) = 0, so she suspects that (x − 1) could be a factor of x³ + 5x² + 2x − 8 and writes (x³ +5x² + 2x − 8) = (x − 1)(?x²+?x+?) and draws a diagram.
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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Priya wants to sketch a graph of the polynomial f defined by f(x) = x³ + 5x² + 2x − 8. She
knows f(1) = 0, so she suspects that (x - 1) could be a factor of ³ + 5x² + 2x
(x³ +5x² + 2x − 8) = (x − 1)(?x²+2x+?) and draws a diagram.
8 and writes
x
Add a Comment.
-1
x³
1. Finish Priya's diagram.
2. Write f(x) as the product of (x - 1) and another factor.
3. Write f(x) as the product of three linear factors.
4. Make a sketch of y = f(x).
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