Unit 2, Lesson 15

The Remainder Theorem

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Integrated Math 3

Practice

Problem 1

For the polynomial function , we have . Rewrite as a product of linear factors.

Practice

Problem 2

Select all the polynomials that have as a factor.

Problem 3

Write a polynomial function, , with degree 3, that has .

Problem 4

Long division was used here to divide the polynomial function by and to divide it by .

What is ?
What is ?

Problem 5

ForLesson 5: Connecting Factors and Zeros

Which polynomial function has zeros at ?

Problem 6

ForLesson 12: Polynomial Division (Part 1)

The polynomial function has known factors and . Rewrite as the product of linear factors.

Problem 7

ForLesson 14: What Do You Know about Polynomials?

We know these things about a polynomial function : It has degree 3, the leading coefficient is negative, and it has zeros at . Sketch a graph of given this information.

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The Remainder Theorem

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7