Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes, Factorization of Quadratic Polynomial Ii
This task is intended to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions. The argument here generalizes to show that a polynomial of degree d can have at most d roots....
Illustrative Mathematics
Illustrative Mathematics: A Apr the Missing Coefficient
The purpose of this task is to emphasize the use of the Remainder Theorem as a method for determining structure in polynomials in equations, and in this particular instance, as a replacement for division of polynomials. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial
In this task, students investigate the properties of a polynomial of degree d > 0. The task relates to the Fundamental Theorem of Algebra. Aligns with A-APR.B.2.
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial
This is the first of a series of problems building to an understanding of an important property of polynomial functions, that a polynomial of degree d can have at most d roots. Aligns with A-APR.B.2.
Illustrative Mathematics
Illustrative Mathematics: A apr.b.3 and a apr.b.2: Graphing From Factors Iii
The task has students use the remainder theorem to deduce a linear factor of a cubic polynomial, and then to completely factor the polynomial. Aligns with A-APR.B.3 and A-APR.B.2.
Khan Academy
Khan Academy: Algebra Ii: Remainder Theorem
Use the PRT (Polynomial Remainder Theorem) to determine the factors of polynomials and their remainders when divided by linear expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
Interactive Mathematics
Interactive Mathematics: The Remainder and the Factor Theorem
This tutorial contains a lesson about the remainder and factor theorems along with practice problems.
Windstream
Ojk's Precalculus Study Page: Remainder and Factor Theorems
An introduction to two important uses of synthetic substitution, the remainder theorem and the factor theorem. Includes examples and sample problems with solutions.