Factoring Quadratic Equations and GCF

The video tutorial from MooMooMath explains how to solve quadratic equations by factoring. It begins with an introduction to factoring, followed by examples of solving trinomials with a lead coefficient of 1. The tutorial then demonstrates solving a quadratic equation by rearranging terms and factoring. Finally, it covers factoring using the greatest common factor. The video emphasizes the importance of setting each factor equal to zero to find solutions.

What is the first step in solving a quadratic equation by factoring?

• Add all terms to one side

• Multiply all terms by the lead coefficient

• Find the greatest common factor

• Set the equation to zero

Which pair of numbers multiplies to 14 and has a difference of 5?

• 3 and 11

• 5 and 9

• 7 and 2

• 14 and 1

In the equation m^2 - 5m - 14 = 0, what are the values of m after factoring?

• m = 5 and m = -14

• m = -7 and m = 2

• m = 14 and m = -5

• m = 7 and m = -2

Why do we move terms to one side of the equation before factoring?

• To eliminate the constant term

• To find the greatest common factor

• To make the equation equal to zero

• To simplify the equation

What pair of numbers multiplies to 12 and has a difference of 1?

• 12 and 1

• 6 and 2

• 4 and 3

• 5 and 7

In the equation x^2 - x - 12 = 0, what are the solutions for x?

• x = -3 and x = 4

• x = 3 and x = -4

• x = 4 and x = -3

• x = -4 and x = 3

What is the greatest common factor of 3x^2 + 24x + 45?

• 9

• 12

• 3

• 6

After factoring out the GCF, what is the resulting trinomial from 3x^2 + 24x + 45?

• x^2 + 10x + 20

• x^2 + 6x + 9

• x^2 + 8x + 15

• x^2 + 12x + 18

Which pair of numbers multiplies to 15 and adds to 8?

• 3 and 5

• 1 and 15

• 2 and 7

• 4 and 4

What are the solutions for x in the equation x^2 + 8x + 15 = 0?

• x = -5 and x = -3

• x = 5 and x = 3

• x = -8 and x = -15

• x = 8 and x = 15