Factoring Quadratics: GCF Techniques

Mr. Collier explains how to factor quadratics using the greatest common factor (GCF). The video covers factoring quadratics with two and three terms, demonstrating how to identify and factor out the GCF. Advanced techniques for more complex expressions are also discussed, providing a comprehensive guide to mastering quadratic factoring.

What is the GCF of x^2 and x?

• No GCF

• x

• x^2

• 1

What is the GCF of 4 and 8?

• 12

• 8

• 2

• 4

After factoring out the GCF, what is left in the expression 4x^2 + 8x?

• x + 2

• x^2 + 2x

• x^2 + x

• x^2 + 2

What is the GCF of 10x^4 and 25x^2?

• 10x^2

• 10x

• 5x^2

• 5x

What multiplies to 20 and adds up to -9?

• -4 and 5

• 4 and -5

• 4 and 5

• -4 and -5

What is the correct factorization of 3x^2 - 27x + 60?

• 3(x^2 - 9x + 20)

• 3(x - 9)(x + 20)

• 3(x - 4)(x - 5)

• 3(x^2 - 4x - 5)

Which pair of numbers multiplies to -20 and adds up to -1?

• 4 and -5

• -4 and 5

• -5 and 4

• 5 and -4

What is the GCF of 2x^3, -18x^2, and 28x?

• x

• 2

• 2x^2

• 2x

Which expression is equivalent to 2x^3 - 18x^2 + 28x after factoring out the GCF?

• 2x(x^2 - 9x + 14)

• x(2x^2 - 9x + 14)

• 2(x^2 - 9x + 14)

• 2x(x - 9x + 14)

Which pair of numbers multiplies to give 14 and adds up to give -9?

• -2 and -7

• 2 and 7

• -7 and -2

• 7 and 2