Polynomials & Factoring — 700-800

700-800 level patterns, traps, and speed techniques.

Written and reviewed by the Study Mondo Education TeamLast updated August 20, 2026

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Polynomials & Factoring at the 700-800 Level

Hard polynomial items are built from four archetypes, and none of them is really a factoring exercise.

Factor theorem with a parameter. " $x + 3$ is a factor of $p(x) = 2x^{3} + ax^{2} - 13x + 6$ " means , so one substitution finds . The stem then asks about the OTHER zeros, and the parameter you just computed sits in the choices. It is never the answer; it is the toll you paid to start.

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700-800 level patterns, traps, and speed techniques.

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