Factoring Polynomials and GCF

This video tutorial covers the basics of factoring polynomials using the greatest common factor (GCF) and the difference of squares method. It provides step-by-step examples to illustrate how to factor expressions by identifying the largest common factors and using the difference of squares technique. The tutorial emphasizes the importance of factoring out the GCF and demonstrates how to handle variables and coefficients in various polynomial expressions.

What is the first step in factoring a polynomial?

• Identify the difference of squares

• Identify the greatest common factor

• Multiply the terms

• Add the coefficients

What is the greatest common factor of 2x + 6?

• 1

• 3

• 6

• 2

In the expression 3x^2 + 6x, what is the greatest common factor?

• 3x

• 6x

• x

• 3

When factoring x^3 + 2x^2 + x, what is the smallest exponent you can factor out?

• None

• x^3

• x^2

• x

What is the greatest common factor of 2x^5 + 4x^4 + 2x^3?

• 2x^3

• 4x^4

• 2x^5

• x^3

What is the difference of squares?

• A method to divide squares

• A method to multiply squares

• A method to subtract squares

• A method to add squares

How do you factor x^2 - 16 using the difference of squares?

• (x + 4)(x + 4)

• (x - 4)(x + 4)

• (x - 4)(x - 4)

• (x + 4)(x - 4)

What is the first step when factoring 4x^2 - 36?

• Add the coefficients

• Multiply the terms

• Apply the difference of squares

• Factor out the GCF

How do you factor 16x^2 - 25y^2 using the difference of squares?

• (4x - 5y)(4x + 5y)

• (4x + 5y)(4x - 5y)

• (4x - 5y)(4x - 5y)

• (4x + 5y)(4x + 5y)