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Rewriting equivalent expressions in polynomials, radicals, and rational forms

Advanced math · Lesson 1 of 5

Lesson 1 of 5

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Lesson 1 of 5 · Advanced math

Rewriting equivalent expressions in polynomials, radicals, and rational forms

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By the end you’ll be able to

Rewrite polynomial expressions by applying the distributive property, combining like terms, and using identities such as the difference of squares and perfect-square trinomials.
Factor polynomial expressions, including greatest common factor, quadratic trinomials, and special products, to reveal zeros, intercepts, or other useful structure.
Simplify radical expressions and expressions with rational exponents by applying the laws of exponents and properties of radicals.

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Interpret how an equivalent form of an expression highlights a feature such as a zero, vertex-related structure, or rate of change in context.

Choose and apply an efficient algebraic manipulation to create an equivalent expression that supports solving, graphing, or modeling.

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