Finding the Greatest Common Factor

The video tutorial explains how to factor polynomials using the box method, particularly when there are four terms. It covers the process of arranging terms in a box, finding the greatest common factor (GCF) of columns and rows, and provides step-by-step examples to illustrate the method. The tutorial includes three examples, each increasing in complexity, to help learners understand and apply the box method effectively.

What is the primary purpose of using the box method in factoring?

• To simplify addition problems

• To factor polynomials with four terms

• To solve linear equations

• To multiply large numbers

When arranging terms in the box, in what order should they be placed?

• First, second, third, and fourth

• Alphabetical order

• Random order

• Largest to smallest

What does GCF stand for in the context of factoring?

• General Calculation Factor

• Greatest Common Fraction

• General Common Formula

• Greatest Common Factor

How do you determine the GCF of two numbers?

• By multiplying them together

• By finding the highest number that divides both

• By subtracting the smaller from the larger

• By adding them together

What is the GCF of 12 and 30 in the example provided?

• 3

• 4

• 5

• 6

Which variable is common in the example of finding GCF?

• X

• W

• Z

• Y

What should you do if the first box in a row is negative?

• Ignore the negative sign

• Add a positive number to it

• Take out the negative sign

• Multiply by a negative number

What is the GCF of -30 and -5?

• 10

• -10

• -5

• 5

In example two, what is the GCF of 12 and 28?

• 2

• 4

• 6

• 8

What is the final answer for example two?

• 2x - 3 and 5x^2 + 9

• 4x - 7 and 3x^2 + 7

• 3x - 4 and 2x^2 + 5

• 5x - 6 and 4x^2 + 8