Algebra II: Full Semester Curriculum (Standard Level)

Add, subtract, and multiply polynomials; understand polynomials form a system closed under these operations

Factor polynomials completely using GCF, grouping, difference of squares, sum/difference of cubes, and trinomial factoring

Apply the Remainder Theorem: for polynomial p(x) and number a, p(a) = 0 iff (x - a) is a factor of p(x)

Identify zeros of polynomials from factored form and use them to construct rough graphs

Prove polynomial identities (e.g., (x² + y²)² = (x² - y²)² + (2xy)²) and use them to describe numerical relationships

Rewrite rational expressions in different forms using long division or inspection: a(x)/b(x) = q(x) + r(x)/b(x)