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# A2-A-1-4

last edited by 5 years, 1 month ago

A2.A.1.4 Solve polynomial equations with real roots using various methods and tools that may include factoring, polynomial division, synthetic division, graphing calculators or other appropriate technology.

In a Nutshell

Students will learn a variety of methods to solve polynomials equations, including factoring, polynomial and/or synthetic division and technology.  They will learn to identify the most efficient method to solve a given polynomial equation.

## Teacher Actions

• Students will develop a deep and flexible conceptual understanding and can explain the mathematical basis for the relationship between solving for real roots, finding a solution, finding the zeros or finding the x-intercepts.

• Students will develop strategies for solving polynomial equations by selecting from a variety of problem solving strategies including factoring, division and graphing calculators.

• Implement tasks for students to use varied approaches and strategies, such as factoring, polynomial division, and graphing technology,  to make sense of and solve polynomial equations.

• Support students in productive struggle by anticipating what students might struggle with while solving polynomial equations and be prepared to support them productively through the struggle.

## Misconceptions

• Identify the standard form of a polynomial.

• Identify the best method to solve a polynomial equation.

• Understand the various methods of solving polynomials including factoring, division, and graphing and be able to switch between methods if necessary.

• Identify solutions of an equation f(x) = 0 as the x-intercepts of the graph of f(x), and know the relationship between solutions, roots, zeros, x-intercepts and factors.

Procedural:

• Students may try to factor a polynomial that cannot be factored.

• Students try to use synthetic division when it’s not possible.

• Students do not put the equation in standard form before solving.

• The student may forget to use a zero coefficient in place of any missing terms when dividing.

OKMath Framework Introduction