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Factoring trinomials with the box method

Factoring trinomials with the box method

Assessment

Presentation

•

Mathematics

•

8th Grade

•

Practice Problem

•

Easy

Created by

Cassandra Cook

Used 32+ times

FREE Resource

6 Slides • 5 Questions

1

Factoring trinomials with the box method

By Cassandra Cook

2

It will look like this when we're done

​Our goal is to find out how to turn

3x2-x-2 into (3x-2)(x+1) using the same boxes that we did before.

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3

First set up your grid and put the first term and the last term in the first full box and the last full box.​

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3x2+x-2

4

​To figure that out, we need to find the pair of numbers that multiplies to be the first number times the last, but adds to the middle number.

​

​Some text here about the topic of discussion.

The tough part is we need to figure out what goes in the other two full boxes.​

​

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What pair of numbers multiplies to be -6 but adds to 1?

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5

Multiple Choice

Question image

What pair of numbers multiplies to be -6 but adds to 1?

1

-3, 2

2

3, -2

3

3, 2

4

-3, -2

6

Order doesn't matter!

​

​Some text here about the topic of discussion.

​Put these numbers with a variable in the remaining boxes

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7

​Find the greatest common factor of each row and column.

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8

Multiple Choice

Which grid correctly finds the greatest common factors of each row and column?

1
2

9

Multiple Choice

Question image

Next we take the outsides of the grid where the problems are and set up our parentheses ( )( ). Which set of ( )( ) correctly matches the grid?

1

(x-1)(3x+2)

2

3x2−2x+3x−23x^2-2x+3x-2  

3

(3x-2)(x+1)

4

(3x-2)(x+1)( 3x23x^2  -2x)(3x-2)

10

Draw

Use your new skills to do as much of the box as possible. Factor

x2+7x+12

11

Draw

Use your new skills to do as much of the box as possible. Factor

12x2-11x-2

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Factoring trinomials with the box method

By Cassandra Cook

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