What is factoring out the GCF and how do we do it

The video tutorial covers the basics of factoring, starting with the greatest common factor (GCF) and moving on to solving equations by factoring. It explains the zero product property and how to apply it to find solutions or roots of equations. The tutorial also covers factoring quadratic equations and introduces advanced factoring techniques. Throughout, the importance of checking work using the distributive property is emphasized.

What is the first step you should take when solving a problem involving factoring?

• Find the roots of the equation

• Identify the Greatest Common Factor

• Apply the distributive property

• Set the equation to zero

What does the Zero Product Property allow you to do when solving equations?

• Multiply both sides by zero

• Set each factor equal to zero

• Divide by zero

• Add zero to both sides

What is the result of factoring the expression X^2 - 8X?

• X(X - 8)

• X^2 - 8

• X + 8

• X^2 + 8X

When factoring a quadratic expression, what should you do if all terms share a common factor?

• Multiply each term by the common factor

• Divide each term by the common factor

• Add the common factor to each term

• Ignore the common factor

In the expression X^2 - 3X + 2 = 0, what are the roots after factoring?

• X = 0 and X = 3

• X = 1 and X = 2

• X = -1 and X = -2

• X = 2 and X = 3