Illustrative Math - Algebra 2 - Unit 2 - Lesson 14
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7 Questions
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1.
We know these things about a polynomial function, f(x): it has exactly one relative maximum and one relative minimum, it has exactly three zeros, and it has a known factor of (x-4). Sketch a graph of f(x) given this information.
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2.
Mai graphs a polynomial function, f(x), that has three linear factors (x+6), (x+2), and (x-1). But she makes a mistake. What is her mistake?
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3.
Here is the graph of a polynomial function with degree 4.
Select all of the statements that are true about the function.
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4.
State the degree and end behavior of f(x)=2x^{3}-3x^{5}-x^{2}+1. Explain or show your reasoning.
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5.
Is this the graph of g(x)=(x-1)^{2}(x+2) or h(x)=(x-1)(x+2)^{2}? Explain how you know.
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6.
Kiran thinks he knows one of the linear factors of P(x)=x^{3}+x^{2}-17x+15. After finding that P(3)=0, Kiran suspects that x-3 is a factor of P(x), so he sets up a diagram to check. Here is the diagram he made to check his reasoning, but he set it up incorrectly. What went wrong?
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7.
The polynomial function B(x)=x^{3}+8x^{2}+5x-14 has a known factor of (x+2). Rewrite B(x) as a product of linear factors.
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This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 14. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/14/index.html ; accessed 27/July/2021.
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