Factoring with Greatest Common Factor and Solving Quadratic Equations

This video tutorial covers factoring quadratic equations using the greatest common factor (GCF) and cases where the leading coefficient is one. It explains how to identify and factor out the GCF, determine two numbers that multiply to the constant term and add to the linear coefficient, and solve the resulting equations. The tutorial includes examples with both positive and negative constant terms, demonstrating the process step-by-step.

What is the first step in factoring a quadratic equation with a greatest common factor?

• Set the equation to zero

• Find two numbers that add to B

• Multiply the terms

• Factor out the greatest common factor

What does it mean if C is negative when finding two numbers that multiply to C and add to B?

• Both numbers are positive

• One number is positive and one is negative

• Both numbers are negative

• The numbers are equal

In the first example, what is the greatest common factor that is factored out?

• 16

• 8

• 2

• 4

Which pair of numbers multiply to 16 and add to 10?

• 3 and 5

• 4 and 4

• 2 and 8

• 1 and 16

What is the purpose of setting up a chart when factoring?

• To solve the equation

• To organize possible pairs of numbers

• To check the solutions

• To find the greatest common factor

After factoring the equation, what are the solutions for M in the first example?

• M = 4 or -4

• M = 0 or 16

• M = 2 or 8

• M = -2 or -8

What is the result of setting both factors equal to zero?

• A single solution

• Two separate equations

• No solution

• An infinite number of solutions

In the second example, what is the greatest common factor that is factored out?

• 6

• 3

• 2

• 1

Which pair of numbers multiply to -3 and add to -2 in the second example?

• 1 and -3

• -1 and 3

• 2 and -1

• -2 and 1

What is the solution for X in the second example after factoring?

• X = -2 or 2

• X = -1 or 3

• X = 1 or -3

• X = 0 or 3