Math II · A-APR.1

Add, subtract, and multiply polynomials; understand polynomial closure under these operations.

Add, subtract, and multiply polynomials; understand polynomial closure under these operations.

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 polynomials and write the sum in standard form

4 variants
Template 2

Subtract polynomials and write the difference in standard form

4 variants
Template 3

Simplify a sum or difference of polynomials by combining like terms and writing standard form

4 variants
Template 4

Multiply a monomial by a polynomial using the distributive property

4 variants
Template 5

Multiply two binomials and simplify the polynomial product

4 variants
Template 6

Multiply a binomial by a trinomial and simplify by combining like terms

4 variants
Template 7

Use an area model to multiply polynomials and combine like terms

4 variants
Template 8

Multiply polynomials using organized partial products

4 variants
Template 9

Expand a binomial product using a special-product pattern

4 variants
Template 10

Find the degree and leading term of a polynomial expression

4 variants
Template 11

Decide whether an expression is a polynomial in x

4 variants
Template 12

Write and simplify a polynomial expression for geometric area or volume

4 variants
Template 13

Rewrite a polynomial expression in simplified standard form by carrying out operations and combining like terms by degree

4 variants