What is the fully factored form (with real coefficients) for the polynomial f(x) = æ® – 1? (Hint: 16 = 1) (x2 – 1)(x4 + æ² + 1) O (x – 1)(x + 1)(x² + x + 1)(x²2 – x + 1). O (2 – 1)* (x + 1)? O (2 – 1) (x + 1)4 O (x – 1) (x + 1)3

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 49PS
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What is the fully factored form (with real coefficients) for the
polynomial f(x) = æ® – 1?
(Hint: 16 = 1)
(x2 – 1)(x4 + æ² + 1)
O (x – 1)(x + 1)(x² + x + 1)(x²2 – x + 1).
O (2 – 1)* (x + 1)?
O (2 – 1) (x + 1)4
O (x – 1) (x + 1)3
Transcribed Image Text:What is the fully factored form (with real coefficients) for the polynomial f(x) = æ® – 1? (Hint: 16 = 1) (x2 – 1)(x4 + æ² + 1) O (x – 1)(x + 1)(x² + x + 1)(x²2 – x + 1). O (2 – 1)* (x + 1)? O (2 – 1) (x + 1)4 O (x – 1) (x + 1)3
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