Algebra 2

Vertex form and completing the square, the number i, complex roots, and quadratic inequalities.

2×2 systems at speed, three variables, curves meeting lines, and feasible regions with the corner principle.

End behavior, division and the remainder/factor theorems, zeros with multiplicity, and cubic+ equations.

Fractional powers, radical arithmetic, equations with phantom solutions, and inverse functions.

Growth and decay, logs as the reverse gear, the three log laws, and solving both equation families.

Variation, asymptotes and holes, rational-expression arithmetic, and equations with work problems.

Arithmetic ladders, geometric rockets, infinite sums, sigma notation, and recursion — the capstone.