Consider the polynomial .

MATHEMATICS · Multi-part · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

Consider the polynomial −3x2+9x−6-3x^2 + 9x - 6. (i) State the greatest common factor of all three terms. (ii) In one sentence, explain why taking this negative common factor is advantageous before any further simplification.

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