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IM Alg2.2.13 Lesson: Polynomial Division (Part 2)

What do you notice? What do you wonder?




Diego used the long division shown here to figure out that

.

Show what it would look like if he had used a diagram.

Pause here for a whole-class discussion. is a factor of , which means there is some other factor A where 

Finish the division started here to find the value of A.

Jada used the diagram shown here to figure out that

Show what it would look like if she had used long division.

What is ?

Use your response to predict what is.

Use division to check your prediction.

Here are some polynomial functions with known factors. Rewrite each polynomial as a product of linear factors using long division.

Rewrite each polynomial as a product of linear factors using long division.

Rewrite each polynomial as a product of linear factors using long division.

Here are pairs of equivalent expressions, one in standard form and the other in factored form. Fill in the missing numbers.