Fundamental Theorem of Algebra Flashcards

1
Q

What is r?

A

A real number that is a root of the polynomial equation P(x)=0.

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2
Q

What is the Fundamental Theorem of Algebra?

A

Every polynomial function of degree n≥1 has at least one zero, where a zero may be a complex number.

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3
Q

What is the Fundamental Theorem Corollary?

A

Every polynomial function of degree n≥1 has exactly n zeros, including multiplicities.

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4
Q

What is the Complex Conjugate Root Theorem?

A

If a+bi is a root of a polynomial equation with real-number coefficients, then a-bi is also a root.

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