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 .