Learn how to factor a polynomial with x and y's by factoring out the GCF

The video tutorial explains how to factor a trinomial by first identifying the greatest common factor (GCF) and then using area representation to understand the concept. It guides through choosing appropriate side lengths that multiply to give the terms of the trinomial. The tutorial concludes with a detailed step-by-step process of factoring the trinomial, ensuring a clear understanding of the method.

What is the first step in factoring a trinomial according to the video?

• Add all coefficients

• Identify the greatest common factor (GCF)

• Multiply all terms together

• Divide by the smallest term

Which number is identified as the largest factor for the terms 15, 3, and 12?

• 3

• 7

• 2

• 5

What variable is chosen to factor out from the terms X^2, X, and X?

• X

• Z

• Y

• W

How is the term 15XY achieved in the factoring process?

• By adding 3XY and 5X

• By multiplying 3XY by 5X

• By dividing 15XY by 3XY

• By subtracting 5X from 3XY

What is the final factored form of the trinomial as presented in the video?

• 3XY - 5X + Y^2 + 4

• 3XY(5X - Y^2 - 4)

• 3XY + 5X - Y^2 - 4

• 3XY(5X + Y^2 + 4)