True of False. Explain. Let α ∈ C be algebraic over Q of degree n. If f (α) = 0 for nonzero f (x) ∈ R[x], then (degree f(x)) ≥ n. C = Complex numbers Q = Rational numbers R = Real numbers
True of False. Explain. Let α ∈ C be algebraic over Q of degree n. If f (α) = 0 for nonzero f (x) ∈ R[x], then (degree f(x)) ≥ n. C = Complex numbers Q = Rational numbers R = Real numbers
True of False. Explain. Let α ∈ C be algebraic over Q of degree n. If f (α) = 0 for nonzero f (x) ∈ R[x], then (degree f(x)) ≥ n. C = Complex numbers Q = Rational numbers R = Real numbers
Let α ∈ C be algebraic over Q of degree n. If f (α) = 0 for nonzero f (x) ∈ R[x], then (degree f(x)) ≥ n.
C = Complex numbers
Q = Rational numbers
R = Real numbers
Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.
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