Corollary 1 Remainder Theorem Let F be a field, a E F, and f(x) E F[x]. Then f(a) is the remainder in the division of f(x) by x – a.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 10E
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Prove Corollary 1.

Corollary 1 Remainder Theorem
Let F be a field, a E F, and f(x) E F[x]. Then f(a) is the remainder in
the division of f(x) by x – a.
Transcribed Image Text:Corollary 1 Remainder Theorem Let F be a field, a E F, and f(x) E F[x]. Then f(a) is the remainder in the division of f(x) by x – a.
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