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Pre-Calculus 10 · Algebra

Factoring Polynomials — Complete Methods

Factoring is the essential skill that makes solving quadratic equations possible. Grade 10 extends Grade 9 factoring to trinomials where the leading coefficient is not 1 — a significantly harder task that requires either decomposition or systematic trial. Mastery here pays off immediately in quadratic equations and rational expressions.

WHAT STUDENTS WILL LEARN
Factor using GCF, grouping, trinomial factoring, and difference of squares
Factor trinomials of the form ax² + bx + c where a ≠ 1
Choose the appropriate factoring strategy for a given polynomial
Apply factoring to simplify rational expressions
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