Math III · A-APR.1

Add, subtract, and multiply polynomials beyond quadratic cases.

Add, subtract, and multiply polynomials beyond quadratic cases.

Concept Algebra
Domain Arithmetic with Polynomials and Rational Expressions
Problem Types

Problem Templates In This Objective

13 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Add higher-degree polynomials by combining like terms

4 variants
Template 2

Subtract higher-degree polynomials by combining like terms

4 variants
Template 3

Add or subtract multivariable polynomials by combining like terms

4 variants
Template 4

Multiply a monomial by a polynomial using the distributive property

4 variants
Template 5

Multiply a binomial by a polynomial by distributing both terms

4 variants
Template 6

Multiply higher-degree polynomials and combine like terms

4 variants
Template 7

Multiply a binomial and a trinomial with a box or area model

4 variants
Template 8

Expand a polynomial using a special-product identity

4 variants
Template 9

Simplify a polynomial and identify its degree and leading coefficient

4 variants
Template 10

Determine polynomial end behavior from the leading term

4 variants
Template 11

Model a context with polynomial multiplication and simplify the expression

4 variants
Template 12

Decide whether two polynomial expressions are equivalent by rewriting them

4 variants
Template 13

Simplify a nested polynomial expression step by step

4 variants