Exercises: Prove and Use Polynomial Identities

Work through each section in order. For proof problems, show all algebraic steps clearly.

Grade 9·22 problems·~38 min·Common Core Math - HS Algebra·standard·hsa-apr-c-4

Work through problems with immediate feedback

Recall / Warm-Up

Which statement correctly distinguishes a polynomial identity from a polynomial equation?

A polynomial identity is true for specific values of the variable; an equation is true for all values.

A polynomial identity is true for all values of the variable; an equation is true only for specific values.

Both identities and equations must be solved to find the values that make them true.

A polynomial identity always uses the symbol $\equiv$ ; a polynomial equation always uses $=$ .