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Let P(x) = 2x4 + 2x3 + x² + 5x-10. a) b) Use the Rational root theorem to find all the possible rational root of P(x) = 0. Use the bounds theorem to find an upper bound for the modulus of the roots of P(x). Does this eliminates any answer from part (a)? c) | Find all roots of P(x) = 0 and decompose P(x) according to its factors.

Let P(x) = 2x4 + 2x3 + x² + 5x-10. a) b) Use the Rational root theorem to find all the possible rational root of P(x) = 0. Use the bounds theorem to find an upper bound for the modulus of the roots of P(x). Does this eliminates any answer from part (a)? c) | Find all roots of P(x) = 0 and decompose P(x) according to its factors.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 8E
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Let P(x) = 2x4 + 2x3 + x² + 5x-10. a) b) Use the Rational root theorem to find all the possible rational root of P(x) = 0. Use the bounds theorem to find an upper bound for the modulus of the roots of P(x). Does this eliminates any answer from part (a)? c) | Find all roots of P(x) = 0 and decompose P(x) according to its factors.
Transcribed Image Text:Let P(x) = 2x4 + 2x3 + x² + 5x-10. a) b) Use the Rational root theorem to find all the possible rational root of P(x) = 0. Use the bounds theorem to find an upper bound for the modulus of the roots of P(x). Does this eliminates any answer from part (a)? c) | Find all roots of P(x) = 0 and decompose P(x) according to its factors.
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