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?
First polynomial:
Second polynomial:
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
Divide
The remainder is
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