Consider the map h: P2 → R² defined by this. ax² + bx + c→ (a+b) Prove that it is a homomorphism.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.2: Ring Homomorphisms
Problem 11E: 11. Show that defined by is not a homomorphism.
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Consider the map h: P2 → R² defined by this.
ax² + bx + c→
(a+b)
Prove that it is a homomorphism.
Transcribed Image Text:Consider the map h: P2 → R² defined by this. ax² + bx + c→ (a+b) Prove that it is a homomorphism.
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