Template 1
Math III · A-APR.2
Apply the Remainder Theorem to connect p(a), remainders, and factors x-a.
Apply the Remainder Theorem to connect p(a), remainders, and factors x-a.
Concept
Algebra
Domain
Arithmetic with Polynomials and Rational Expressions
Problem Types
Problem Templates In This Objective
12 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.
Template 2
Use the Remainder Theorem to find a remainder from a divisor x-a
Template 3
Use synthetic division to find the remainder from a divisor x-a
Template 4
Use polynomial long division to find the remainder from a linear divisor
Template 5
Use the Factor Theorem to decide whether x-a is a factor
Template 6
Find a missing coefficient that makes x-a a factor
Template 7
Find a missing coefficient from remainder information using the Remainder Theorem
Template 8
Connect polynomial evaluations, zeros, factors, and x-intercepts
Template 9
Use values of p(a) to identify linear factors x-a
Template 10
Use the Remainder Theorem to find a remainder or test whether x-a is a factor
Template 11
Interpret a polynomial-division remainder as a contextual function value
Template 12