Curriculum placement
Algebra 1. This describes the skill, not a learner estimate.
Adding, subtracting, and multiplying polynomials
Add subtract and multiply polynomials
Problem types
- Build or describe a polynomial from its structure
- Add polynomials
- Subtract polynomials
- Multiply polynomials
- Show the work: multiply polynomials
- Choose the polynomial with a stated degree, leading coefficient and constant
- Multiply two trinomials and combine like terms
Builds on
- Laws of exponents
- Equivalent expressions
- Multiplying with partial products · Earlier idea
The area model that splits 23 × 14 into partial products also multiplies (x + 3)(x + 4) term by term.
Leads to
Related skills
- The standard multiplication algorithm · Related idea
Multiplying multi-digit numbers multiplies each pair of place values, the way multiplying polynomials multiplies each pair of terms.
- Regrouping within 1,000 · Related idea
Adding with regrouping combines each place separately, as adding polynomials combines each power separately.
- Rules for a geometric sequence · Shared foundations
- Expanding and factoring linear expressions · Shared foundations
- Rational exponents and radicals · Shared foundations
Open the interactive map to explore lessons and skill connections.