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Microcomputer-Assisted Mathematics: Factoring and Unfactoring

Clark Kimberling

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Abstract

One of the most familiar topics to algebra students is factoring. However, some students who can factor an expression like x2 − 7x + 10 do not fully realize the connections between the numbers −7 and 10 and the numbers 2 and 5 that appear in the factorization (x – 2)(x − 5). They often start with the −7 and 10 and obtain the 2 and 5 more or less by trial and error.

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What this paper is about

One of the most familiar topics to algebra students is factoring. However, some students who can factor an expression like x2 − 7x + 10 do not fully realize the connections between the numbers −7 and 10 and the numbers 2 and 5 that appear in the factorization (x – 2)(x − 5). They often start with the −7 and 10 and obtain the 2 and 5 more or less by trial and error.

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Available abstract

One of the most familiar topics to algebra students is factoring. However, some students who can factor an expression like x2 − 7x + 10 do not fully realize the connections between the numbers −7 and 10 and the numbers 2 and 5 that appear in the factorization (x – 2)(x − 5). They often start with the −7 and 10 and obtain the 2 and 5 more or less by trial and error.

Key concepts: Factoring, Factorization, Microcomputer, Algebra over a field, Arithmetic, Mathematics, Expression (computer science), Computer science

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