Write the polynomial as the product of linear and quadratic factors that are irreducible over the reals. Ax) = x4 + 42x² - 343

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 41E
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Write the polynomial as the product of linear and quadratic factors that are irreducible over the reals.
Ax) = x* + 42x2 – 343
o (x? + 49)(x + 7)(x – 7)
|
(x² + 49)[x + /7)(x + /7)
o (x? + 49)(x - V7)(x - 7)
(x² + 49)(x + 7)(x - /7)
(x² + 49)[x + /7][x - /7)
Transcribed Image Text:Write the polynomial as the product of linear and quadratic factors that are irreducible over the reals. Ax) = x* + 42x2 – 343 o (x? + 49)(x + 7)(x – 7) | (x² + 49)[x + /7)(x + /7) o (x? + 49)(x - V7)(x - 7) (x² + 49)(x + 7)(x - /7) (x² + 49)[x + /7][x - /7)
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