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9-12 Integrated Math 3 Unit 2 Lesson 13

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Unit 2, Lesson 13

Polynomial Division (Part 2)

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Integrated Math 3

Practice

Problem 1

Student Task Statement

The polynomial function has a known factor of . Rewrite as a product of linear factors.

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Problem 2

Student Task Statement

Let the function be defined by where is a factor. To rewrite the function as the product of two factors, long division was used but an error was made:

How can we tell by looking at the remainder that an error was made somewhere?

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Problem 3

Student Task Statement

For the polynomial function we know is a factor. Select all the other linear factors of .

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Problem 4

ForLesson 6: Different Forms

Student Task Statement

Match the polynomial function with its constant term.

-210
-42
21
42
210

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Problem 5

ForLesson 11: Finding Intersections

Student Task Statement

What are the solutions to the equation ?

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Problem 6

ForLesson 8: End Behavior (Part 1)

Student Task Statement

The graph of a polynomial function is shown. Which statement is true about the end behavior of the polynomial function?

<p>polynomial function graphed. x intercepts = -4, 0, and 3. y intercept = 0. f of x increases as x increases. </p>

As gets larger and larger in the either the positive or the negative direction, gets larger and larger in the positive direction.

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Problem 7

ForLesson 12: Polynomial Division (Part 1)

Student Task Statement

The polynomial function has a known factor of .

Rewrite as the product of linear factors.
Sketch a graph of the function.

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Lesson 13 Resources

Student Materials

As gets larger and larger in the positive direction, gets larger and larger in the positive direction. As gets larger and larger in the negative direction, gets larger and larger in the negative direction.

As gets larger and larger in the positive direction, gets larger and larger in the negative direction. As gets larger and larger in the negative direction, gets larger and larger in the positive direction.

As gets larger and larger in the either the positive or negative direction, gets larger and larger in the negative direction.