IM Alg2.2.6 Lesson: Different Forms
Which one doesn’t belong?
A: B: C: D:
Earlier, we learned we can make a box from a piece of paper by cutting squares of side length from each corner and then folding up the sides. Let’s say we now have a piece of paper that is 8.5 inches by 14 inches. The volume , in cubic inches, of the box is a function of the side length where . Identify the degree and leading term of the polynomial. Explain or show your reasoning.
Without graphing, what can you say about the horizontal and vertical intercepts of the graph of ?
Do these points make sense in this situation?
Use the distributive property to show that each pair of expressions is equivalent.
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Write a pair of expressions that each have 2 or 3 terms, and trade them with your partner. Multiply the expressions they gave you.
Let and Use the applet below to explore both functions in the same window of and . Describe how the two graphs are the same and how they are different.
What degree do these polynomials have? Rewrite each expression in standard form to check.
Let . What do you think the graph of will look like compared to ? Use the applet above to check your prediction.
Here are the graphs of two polynomial functions, and . We know that .
Why do the two graphs have different vertical intercepts but the same horizontal intercepts?
What is the value of ?