3 10x - 10. Consider the polynomial function P(x) = x + x- (A) Is (x + 1) one of the factors of P? Explain. Be sure to identify the name of the theorem you used. (B) The graph shown has x-intercepts at V10, - 1, and - V10. Could this be the graph of 3 P(x) = x + x 10x 10. Explain how you know using both algebraic and graphical techniques.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
12/3 MIXED PRACTICE DIVIDING POLYNOMIALS
1.
3
Consider the polynomial function P(x) = x + x- 10x 10.
(A) Is (x + 1) one of the factors of P? Explain. Be sure to identify the name of the theorem
you used.
(B) The graph shown has x-intercepts at v10, - 1, and - V10. Could this be the graph of
3
P(x) = x +x
graphical techniques.
2
10x - 10. Explain how you know using both algebraic and
Transcribed Image Text:1. 3 Consider the polynomial function P(x) = x + x- 10x 10. (A) Is (x + 1) one of the factors of P? Explain. Be sure to identify the name of the theorem you used. (B) The graph shown has x-intercepts at v10, - 1, and - V10. Could this be the graph of 3 P(x) = x +x graphical techniques. 2 10x - 10. Explain how you know using both algebraic and
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