Factoring out a GCF then factoring using various methods

The video tutorial explains how to solve quadratic equations by factoring, focusing on the difference of squares method. It begins with identifying square numbers and factoring out common factors, then demonstrates the factoring process. The tutorial concludes with verifying the solution using the FOIL method and solving for x using the zero product property.

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

• Identify the coefficients

• Look for square numbers

• Add all terms

• Multiply all terms

Which of the following is a square number?

• 81

• 50

• 72

• 45

What method is used to verify the factorization of a quadratic equation?

• FOIL method

• Elimination method

• Substitution method

• Graphing method

What property is used to solve the equation after factoring?

• Zero product property

• Distributive property

• Associative property

• Commutative property

What are the solutions for X in the equation 4X^2 - 81 = 0?

• X = 4 and X = -4

• X = 9 and X = -9

• X = 81 and X = -81

• X = 9/2 and X = -9/2