Template 1
Math III · A-APR.4
Prove polynomial identities and use them to solve or describe numerical relationships.
Prove polynomial identities and use them to solve or describe numerical relationships.
Concept
Algebra
Domain
Arithmetic with Polynomials and Rational Expressions
Problem Types
Problem Templates In This Objective
14 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.
Template 2
Expand a binomial square completely
Template 3
Verify and apply the difference-of-squares identity
Template 4
Verify and apply the sum-of-cubes and difference-of-cubes identities
Template 5
Use a polynomial identity for fast mental computation
Template 6
Factor a polynomial by recognizing a special identity
Template 7
Use a factoring identity to solve a polynomial equation
Template 8
Match a polynomial identity to labeled component areas or volumes
Template 9
Complete a missing term in a polynomial identity by expanding and comparing coefficients
Template 10
Decide whether a polynomial equation is an identity by expanding both sides and comparing
Template 11
Factor an expression using a polynomial identity
Template 12
Simplify a rational identity while preserving original-domain exclusions
Template 13
Decide whether a polynomial equation is an identity by expanding both sides
Template 14