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IM Alg2.2.12 Lesson: Polynomial Division (Part 1)

What do you notice? What do you wonder?

A. 
B. 
C. 

Priya wants to sketch a graph of the polynomial defined by . She knows , so she suspects that  could be a factor of  and writes  and draws a diagram.

Finish Priya’s diagram.

Write  as the product of  and another factor.

Write ) as the product of three linear factors.

Make a sketch of y=f(x).

Here are some polynomial functions with known factors. Rewrite each polynomial as a product of linear factors. Note: you may not need to use all the columns in each diagram. For some problems, you may need to make another diagram.

(Hint: )

A diagram can also be used to divide polynomials even when a factor is not linear.

Suppose we know  is a factor of . We could write .

Make a diagram and find the missing factor.