Unit 5 Review: Polynomial Operations
Multiplying by monomials, binomials, and polynomial products; simplifying expressions.
Distributive Property
FOIL
Box/Area Model
Combine Like Terms
\((x^m)(x^n)=x^{m+n}\)
What You Should Be Able To Do
- Distribute a monomial across a polynomial and simplify.
- Multiply binomials using FOIL and the box/area model.
- Multiply any two single-variable polynomials and combine like terms.
- Identify degree, leading term, and leading coefficient of a product.
Progress autosaves to this device.
Video Library
Distributive Property with Polynomials
Multiply a monomial across a polynomial and simplify.
youtube.com – “distributive property polynomials”FOIL & Box Method
Binomial × binomial with partial products.
youtube.com – “FOIL binomials box method”Polynomial × Polynomial
Systematic multiplication and combining like terms.
youtube.com – “multiplying polynomials combining like terms”Degree & Leading Coefficient
Identify degree/leading term after products.
youtube.com – “degree and leading coefficient polynomials”Interactive Tools
Monomial Distributer
| Term | Product |
|---|
Binomial × Binomial (FOIL / Box)
Polynomial × Polynomial (single variable \(x\))
| \(x\) power | Coefficient (sum of partials) |
|---|
Combine Like Terms – Practice
Simplify and enter your answer in standard form (e.g., 3x^2 - 5x + 2).
Unit 5 Quizzes
Downloadable Review
Quick Practice Scratchpad
Try: \(3x(2x^2 - 5x + 4)\), \((x-7)(2x+5)\), and \((x^2-3x+1)(x^2+x-4)\).