Polynomial forms

"Is expanded," "is factorized," and "is simplified"

There are three form-checking methods well suited for polynomial expressions: "is expanded", "is factorized," and "is simplified."

Like other form-checking methods, these three methods don't require a sample correct answer. They're typically used alongside the "symbolically equal to" method to ensure that an expression is not only mathematically accurate but in the required format.

Demo 1: Is expanded

This demo uses "is expanded" alongside the "symbolically equal to" method, requiring that the learner’s response is both algebraically equivalent and in an expanded form. This is ideal for questions involving expanding brackets or binomials in algebra. Authors can set a single expected expanded expression instead of anticipating every possible rearrangement.

Demo 2: Is factorized

This demo uses both "is factorized" and "symbolically equal to" ensuring that a correct response is factored. Ideal for questions regarding factoring polynomials, this setup ensures students present answers in the intended mathematical structure while allowing flexibility. Authors can define one factored answer rather than multiple equivalent forms.

Demo 3: Is simplified

In this demo, "is simplified" is added as a secondary method alongside the "symbolically equal to" method. This is useful in scenarios when learners are practicing simplifying fractions, expressions, and rational functions.