Factoring Quadratics and GCF Concepts

This video tutorial covers the process of factoring quadratic equations, focusing on perfect square trinomials and recognizing shortcuts. It introduces methods for factoring when the leading coefficient is not 1, such as the 'xbox' method and uncombining like terms. The tutorial includes examples and practice problems to reinforce learning, emphasizing the importance of identifying the greatest common factor (GCF) before proceeding with other methods.

What is the format of a perfect square trinomial?

• a^2 + 2ab + b^2

• a^2 - 2ab + b^2

• a^2 + b^2

• a^2 - b^2

Which of the following is a perfect square trinomial?

• x^2 + 4x + 4

• x^2 + 5x + 6

• x^2 - 5x + 6

• x^2 - 4x + 4

What is the shortcut for factoring x^2 - 16x + 64?

• (x + 4)^2

• (x - 4)^2

• (x + 8)^2

• (x - 8)^2

When factoring quadratics where a is not equal to 1, what is the first step in the uncombining like terms method?

• Create a box

• Create an X

• Expand the middle term

• Find the GCF

In the Xbox method, where do you place the first term of the quadratic?

• Lower right corner

• Upper left corner

• Upper right corner

• Lower left corner

What is the factored form of 5x^2 - 17x + 12 using the Xbox method?

• (5x + 12)(x + 1)

• (5x + 1)(x + 12)

• (5x - 12)(x - 1)

• (5x - 1)(x - 12)

What is the factored form of 4x^2 + 8x + 3 using the uncombining like terms method?

• (2x + 3)(2x + 1)

• (2x + 1)(2x + 3)

• (4x + 1)(x + 3)

• (4x + 3)(x + 1)

What is the GCF of the terms 50x^2, 20x, and 2?

• 2

• 5

• 1

• 10

What should you always do first when factoring a quadratic expression?

• Find the GCF

• Create an X

• Expand the middle term

• Create a box

What is the factored form of 8x^2 - 10x + 3 after factoring out the GCF?

• (4x - 3)(2x - 1)

• (8x - 3)(x - 1)

• (4x + 3)(2x + 1)

• (8x + 3)(x + 1)