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Unit 2, Lesson 3

Introducing Polynomials

Algebra 2

Practice

Problem 1

Select all points where relative minimum values occur on this graph of a polynomial function.

Point
Point

Point

Problem 2

Add one term to the polynomial expression to make it into a 22nd-degree polynomial.

Problem 3

Identify the degree, leading coefficient, and constant value of each of the following polynomials:

Problem 4

ForLesson 1: Let’s Make a Box

We want to make an open-top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is a 9-inch by 9-inch square. The volume , in cubic inches, of the open-top box is a function of the side length , in inches, of the square cutouts.

Write an expression for .
What is the volume of the box when ?
What is a reasonable domain for in this context?

Problem 5

ForLesson 2: Funding the Future

Consider the polynomial function given by . Evaluate the function at .

Problem 6

from an earlier course

Here is a graph that represents .

On the same coordinate plane, sketch and label the graph that represents each equation:

<p>A curve in an x y plane, origin O.</p>