Just Reduce it

Algebra Level 5

True or false

The polynomial x 3 + 3 x 2 π x^3 + 3x - 2\pi is irreducible over R \mathbb R .

True False

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1 solution

Every odd degree polynomial has at least one real root and thus it can be expressed as ( x α ) ( x 2 + b x + c ) (x-\alpha)(x^2+bx+c) where α \alpha is the real root. Thus it is reducible

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