Template 1
Math III · A-APR.3
Identify zeros from factorizations and use them to sketch polynomial graphs.
Identify zeros from factorizations and use them to sketch polynomial graphs.
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
Enter each polynomial zero with its multiplicity
Template 3
Determine how a polynomial graph behaves at a zero from its multiplicity
Template 4
Determine the end behavior of a polynomial written in factored form
Template 5
Extract zero behavior and end behavior from factored form
Template 6
Match a factored polynomial to its graph using zeros, multiplicities, and end behavior
Template 7
Write the unique least-degree factored polynomial with a specified leading coefficient
Template 8
Find the y-intercept of a polynomial written in factored form
Template 9
Use a known zero to factor a numeric polynomial and identify graph features
Template 10
Use the degree of a polynomial to find the greatest possible number of turning points
Template 11
Distinguish real and complex zeros in a factorization for graph sketching
Template 12
Complete a polynomial sign chart over intervals between zeros
Template 13
Solve a polynomial inequality using zeros and sign behavior
Template 14