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Algebra 2 Flashcards: Extending Polynomial Identities To Complex Numbers

Study Extending Polynomial Identities To Complex Numbers in Algebra 2 with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Rewrite x2+36x^2+36 as a product of two complex conjugate binomials.

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ANSWER

(x+6i)(x−6i)(x+6i)(x-6i). x2+36=x2+(6i)2x^2 + 36 = x^2 + (6i)^2 factors as conjugate pair.

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Algebra 2: Complex Numbers in Polynomials

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What this deck covers

This deck focuses on Extending Polynomial Identities To Complex Numbers, giving you a quick way to review the definitions, rules, and examples that matter most for Algebra 2.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 47Practice questions for this set
Use the identity a2−b2=(a+b)(a−b)a^2-b^2=(a+b)(a-b), which remains valid for complex a,ba,b, to evaluate (1+i)2−(2−i)2.(1+i)^2-(2-i)^2.
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