Short Answer

GCF Identification in Structural Load Modeling

A facilities engineer is reviewing a structural load model represented by the polynomial expression x2+2x5x10x^2 + 2x - 5x - 10. To factor this expression by grouping, the engineer organizes the terms into two pairs: (x2+2x)(x^2 + 2x) and (5x10)(-5x - 10). Based on the standard process for factoring this specific polynomial, what is the Greatest Common Factor (GCF) that must be factored out of the second pair, (5x10)(-5x - 10), to leave the common binomial factor (x+2)(x + 2)?

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Updated 2026-05-25

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