Look at Part 1. Are either of these polynomials factorable? How do you know?
Yes; we can factor using either the product-sum method or the GCF.
Factor each polynomial. What are the resulting expressions?
What are the zeros of each polynomial? How do you know?
These are the values of
What would the graphs of each of the polynomials look like? How do you know?
The first would be a parabola and the second would be a sideways S-shape. Second-degree polynomials form parabolas and third-degree polynomials form S-shapes.
Look at Part 2. How can we use the remainder theorem to efficiently evaluate
Answers vary; students should recall that the remainder when
The remainder is
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