Unit 7

Polynomials

Add, subtract, multiply, and factor polynomial expressions. Master special products, GCF factoring, trinomial factoring, and difference of squares — essential skills for solving quadratic equations.

Unit 7 · 8 pages

Chapters

00Cover

Cover

Unit overview, essential questions, learning objectives, and vocabulary list for Unit 7 Polynomials.

7.1

Introduction to Polynomials

Identify, classify, and write polynomials in standard form. Understand degree, leading coefficient, and polynomial vocabulary.

7.2

Adding & Subtracting Polynomials

Add and subtract polynomials by combining like terms. Apply to perimeter and area problems.

7.3

Multiplying Polynomials

Multiply monomials, binomials, and polynomials using the distributive property and FOIL method.

7.4

Special Products

Recognize and apply patterns for perfect square trinomials and difference of squares.

7.5

Factoring with the GCF

Factor polynomials using the greatest common factor. Identify numerical and variable GCFs, factor negative GCFs, and recognize when the GCF is only the first step.

7.6

Factoring Trinomials and Special Products

Factor trinomials using factor pairs and the AC method. Recognize and reverse difference of squares and perfect square trinomial patterns.

7.7

Unit Review

Review all Unit 7 Polynomials topics before the unit assessment.

← Back to Algebra 1Unit 7 of 11