IM Alg1.6.9 Lesson: Standard Form and Factored Form

Show that  and  are equivalent expressions by drawing a diagram or applying the distributive property. Show your reasoning.

For each expression, write an equivalent expression. Show your reasoning.

The quadratic expression  is written in standard form. Here are some other quadratic expressions. The expressions on the left are written in standard form and the expressions on the right are not.

 and  in the right column are quadratic expressions written in factored form. Why do you think that form is called factored form?

Which quadratic expression can be described as being both standard form and factored form? Explain how you know.