Factoring by Grouping Techniques

Factoring by Grouping Techniques

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

Sean Gannon introduces the concept of factoring by grouping in this Minute Math video. He demonstrates the process with two examples, explaining each step in detail. The first example involves factoring the expression x squared plus 3x minus 2x minus 6, resulting in (x + 3)(x - 2). The second example factors 6x squared minus 3x minus 4x plus 2 into (2x - 1)(3x - 2). Gannon emphasizes the importance of recognizing common factors and grouping terms effectively. The video concludes with a call to action to like and subscribe for more math lessons.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in the video?

Graphing linear equations

Simplifying fractions

Factor by grouping

Solving quadratic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first expression given for factoring?

2x^2 + 5x + 3

x^2 - 4x + 4

x^2 + 3x - 2x - 6

6x^2 - 3x - 4x + 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring by grouping?

Graphing the equation

Solving for x

Grouping terms

Finding the greatest common factor

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What common factor is pulled out from x^2 and 3x?

3

x

x^2

6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factored form of the first expression?

(x + 3)(x - 2)

(x - 2)(x - 3)

(x - 3)(x + 2)

(x + 2)(x - 3)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second expression given for factoring?

6x^2 - 3x - 4x + 2

2x^2 + 5x + 3

x^2 - 4x + 4

x^2 + 3x - 2x - 6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What common factor is pulled out from 6x^2 and -3x?

6

x^2

3x

2x

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