Algebra I: Polynomial Operations

Free

Grades 8–10AlgebraGuided journey: Discover, Learn, Practice, Apply

The moves every quadratic depends on, taught one at a time: name a polynomial, combine like terms, multiply monomials and binomials with FOIL, and run multiplication backward by factoring out a GCF, grouping, and reversing FOIL on a trinomial. Bridges intro-algebra into Algebra I quadratics. Aligned to HSA-APR.A.1, HSA-SSE.A.1, and HSA-SSE.B.3.

What you’ll learn

A polynomial is a sum of terms; its degree is the highest exponent.
Add and subtract by combining like terms; subtraction flips every sign in the second group.
Multiply by distributing and adding exponents: $x^a \cdot x^b = x^{a+b}$ .
Factoring runs multiplication backward: pull out the GCF, then group or reverse FOIL.
Expanding and factoring are inverses, so each one checks the other.

Aligned to HSA-APR.A.1, HSA-SSE.A.1, HSA-SSE.B.3

Algebra I: Polynomial Operations

Free

Grades 8–10AlgebraGuided journey: Discover, Learn, Practice, Apply

What you’ll learn

A polynomial is a sum of terms; its degree is the highest exponent.
Add and subtract by combining like terms; subtraction flips every sign in the second group.
Multiply by distributing and adding exponents: $x^a \cdot x^b = x^{a+b}$ .
Factoring runs multiplication backward: pull out the GCF, then group or reverse FOIL.
Expanding and factoring are inverses, so each one checks the other.

Aligned to HSA-APR.A.1, HSA-SSE.A.1, HSA-SSE.B.3