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9-12 Integrated Math 2 Unit 5 Lesson 10

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Unit 5, Lesson 10

Rewriting Quadratic Expressions in Factored Form (Part 4)

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Integrated Math 2

Practice

Problem 1

To write in factored form, Diego first listed factor pairs of -10.

Use what Diego started to write in factored form.
How do you know you’ve found the right pair of expressions? What did you look for when trying out different possibilities?

Problem 2

To rewrite in factored form, Jada listed some factor pairs of :

Use what Jada started to rewrite in factored form.

Problem 3

Rewrite each quadratic expression in factored form. Then, use the zero product property to solve the equation.

Problem 4

Han is solving the equation .

Here is his work:

Describe Han’s mistake. Then, find the correct solutions to the equation.

Problem 5

ForLesson 1: Finding Unknown Inputs

A picture is 10 inches wide by 15 inches long. The total area of the picture and a frame that is inches thick can be modeled by the function .

Use function notation to write a statement for this description: the total area of the picture and a frame that is 2 inches thick is 266 square inches.
What is the total area if the picture has a frame that is 4 inches thick?

Problem 6

ForLesson 2: When and Why Do We Write Quadratic Equations?

To solve the equation , Elena uses technology to graph the function . She finds that the graph crosses the -axis at and .

What is the name for the points where the graph of a function crosses the -axis?
Use a calculator to compute and .
Explain why 1.919 and 5.081 are approximate solutions to the equation and are not exact solutions.

Problem 7

ForLesson 3: Solving Quadratic Equations by Reasoning

Which equation shows a next step in solving that will lead to the correct solutions?