Study Guide — Polynomial, rational, and radical functions

Algebra II · Honors

Honors-depth study guide for Polynomial, rational, and radical functions.

What this standard means

• Operate on polynomial and rational expressions
• Simplify radical expressions and rationalize denominators
• Identify domain restrictions
• Graph basic rational functions

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Combine like terms before operating 2. Check factoring by expanding 3. Use the remainder theorem to test factors

_See printable PDF for diagram._

Common mistakes

• Sign errors when distributing
• Forgetting to combine like terms

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for Polynomial, rational, and radical functions.

• [ ] Adds and subtracts polynomials correctly
• [ ] Multiplies binomials and polynomials
• [ ] Factors when possible and identifies zeros

Materials for this standard

• Practice Problems — 20 printable sets
• Review — 10 difficulty levels
• Practice Test — 10 difficulty levels
• Answer key — for parents and tutors