Illustrative Math - Algebra 2 - Unit 2 - Lesson 12

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Illustrative Math - Algebra 2 - Unit 2 - Lesson 12

Posljednje ažuriranje over 1 year ago

Tyler thinks he knows one of the linear factors of P(x)=x^{3}-9x^{2}+23x-15. After finding that P(1)=0, he suspects that x-1 is a factor of P(x). Here is the diagram he made to check if he’s right, but he set it up incorrectly. What went wrong?

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The polynomial function q(x)=2x^{4}-9x^{3}-12x^{2}+29x+30 has known factors (x-2) and (x+1). Which expression represents q(x) as the product of linear factors?

(2x-15)(x+1)(x-2)(x+1)

(2x-5)(x+3)(x-2)(x+1)

(2x+15)(x-1)(x-2)(x+1)

(2x+3)(x-5)(x-2)(x+1)

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State the degree and end behavior of f(x)=5+7x-9x^{2}+4x^{3}. Explain or show your reasoning.

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Describe the end behavior of f(x)=1+7x+9x^{3}+6x^{4}-2x^{5}.

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What are the points of intersection between the graphs of the functions f(x)=(x+3)(x-1) and g(x)=(x+1)(x-3)?

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This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 12. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/12/index.html ; accessed 27/July/2021.

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