A polynomial P is given. P(x) = x4 + 15x² – 16 (a) Factor P into linear and irreducible quadratic factors with real coefficients. P(x) (b) Factor P completely into linear factors with complex coefficients. P(x)

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A polynomial \( P \) is given.

\[ P(x) = x^4 + 15x^2 - 16 \]

(a) Factor \( P \) into linear and irreducible quadratic factors with real coefficients.

\[ P(x) = \boxed{} \]

(b) Factor \( P \) completely into linear factors with complex coefficients.

\[ P(x) = \boxed{} \]
Transcribed Image Text:A polynomial \( P \) is given. \[ P(x) = x^4 + 15x^2 - 16 \] (a) Factor \( P \) into linear and irreducible quadratic factors with real coefficients. \[ P(x) = \boxed{} \] (b) Factor \( P \) completely into linear factors with complex coefficients. \[ P(x) = \boxed{} \]
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