Intermediate Algebra — 1.2: GCF of Polynomial Terms скачать в хорошем качестве

Intermediate Algebra — 1.2: GCF of Polynomial Terms

Learn the three-step method for finding the greatest common factor (GCF) of variable expressions and polynomial terms. Starting with why the GCF uses the smallest exponent (not the largest), this lesson builds from single-variable cases to multi-variable terms with coefficients and negative signs. Key concepts covered: • Why the GCF of x², x⁵, and x³ is x² — the smallest exponent rule • Listing factors to verify the GCF by finding the largest shared factor • Handling invisible exponents (x = x¹) and invisible coefficients (x⁸ means 1·x⁸) • The three-step method: GCF of coefficients, smallest exponent per variable, multiply together • Using prime factorization to find the coefficient GCF (e.g., 9, 15, 6 → GCF is 3) • Treating each variable independently in multi-variable terms (e.g., a²b³, ab³, a⁴b²) • Handling negative signs by using absolute values of coefficients • Edge case: when the coefficient GCF is 1, only the variable part gets factored out • Verifying your answer by dividing each original term by the GCF • Why finding the GCF correctly is the essential first step before grouping, trinomial methods, or difference of squares ━━━━━━━━━━━━━━━━━━━━━━━━ SOURCE MATERIALS The source materials for this video are from    • Intermediate Algebra Lecture 6.1:  Factori...