Solving Quadratics through Factoring and GCF

This video tutorial explains how to solve quadratic equations using factoring, focusing on the greatest common factor (GCF). It begins with solving equations that are already factored, setting each factor equal to zero, and solving for X. The tutorial then covers factoring equations that are not trinomials by identifying and using the GCF. The process involves dividing terms by the GCF and solving the resulting equations. The video emphasizes the simplicity of the method when equations are presented in a factored form.

What is the first step in solving quadratics using factoring?

• Set the equation to zero

• Find the greatest common factor

• Expand the equation

• Simplify the equation

When given a factored quadratic equation, what should you do next?

• Add the factors

• Multiply the factors

• Set each factor equal to zero

• Divide the factors

What is the solution for X when 2x is set equal to zero?

• X = 0

• X = -2

• X = 1

• X = 2

How do you solve for X in the equation x + 4 = 0?

• Divide both sides by 4

• Subtract 4 from both sides

• Multiply both sides by 4

• Add 4 to both sides

What indicates that a quadratic equation needs to be factored?

• It has no x term

• It has an x squared and an x term

• It has a constant term

• It has three terms

What is the greatest common factor of 14 and 21?

• 14

• 7

• 3

• 21

What do you get when you divide 14x^2 by 7x?

• 2

• 14x

• 7x

• 2x

What is the solution for X when 7x is set equal to zero?

• X = 7

• X = 1

• X = 0

• X = -7

How do you solve for X in the equation 2x + 3 = 0?

• Subtract 3 from both sides and then divide by 2

• Add 3 to both sides

• Divide both sides by 3

• Multiply both sides by 2