Equivalent expressions

Learning objectives

Apply the laws of exponents, including negative and fractional exponents, and convert between radical and exponent forms

Add, subtract and multiply polynomials and identify equivalent forms of a polynomial expression

Factor expressions using common factors, the difference of two squares and quadratic trinomial patterns

Simplify, combine and divide rational expressions, including rewriting a rational expression as a quotient plus a remainder

Complete the square to rewrite a quadratic expression in vertex form and recognize which form reveals a given feature

Find unknown constants by equating coefficients of two expressions that are equivalent for all values of x