Vocabulary: Higher degree equations are polynomials with maximum exponents greater than 2.

Definition: The factorization method involves breaking down complex equations into simpler factors and solving each factor separately.

Example: x³ + 3x² - 4x - 4 = 0 demonstrates the application of factorization techniques.

Definition: Root equations are equations containing square roots of expressions involving variables.

Example: √(6x + 1) = 3 demonstrates the standard approach of isolating the root and squaring both sides.

Highlight: Solution verification is crucial in root equations as squaring can introduce extraneous solutions.

Definition: A system of equations consists of multiple equations that must be solved simultaneously.

Example: The solution process for 3(x - 2y + 1) = -3y demonstrates systematic elimination and substitution methods.

Highlight: Multiple solution techniques are presented, including elimination, substitution, and organization of terms.