Using the zero product property and factoring a GCF to solve a quadratic

The video tutorial explains how to solve a quadratic equation using the Zero Product Property. It begins with setting up the problem and understanding why terms cannot be combined. The Zero Product Property is introduced, which states that if the product of two numbers is zero, then at least one of the numbers must be zero. The tutorial then covers factoring, using division to rewrite expressions as products, and applying the Zero Product Property to find solutions. The video concludes with a demonstration of solving the equation and verifying the solution.

What is the first step in solving the equation y = X^2 - 18?

• Apply the distributive property

• Set Y equal to 0

• Find the greatest common factor

• Combine like terms

Why can't 5X and X^2 be combined?

• They are already simplified

• They are both constants

• They are not like terms

• They have different coefficients

What does the Zero Product Property state?

• If two numbers are multiplied and the product is zero, the numbers must be equal

• If two numbers are multiplied and the product is zero, neither number can be zero

• If two numbers are multiplied and the product is zero, one or both numbers must be zero

• If two numbers are multiplied and the product is zero, both numbers must be zero

How can expressions be rewritten as multiplication problems?

• By using the distributive property

• By factoring

• By adding terms

• By simplifying

What is the purpose of finding the greatest common factor in factoring?

• To solve the equation

• To simplify the expression

• To rewrite the expression as a product

• To eliminate variables

In the example with the number 12, what is the divisor used?

• 4

• 6

• 3

• 2

What is the result of dividing 12 by its factor 2?

• 4

• 10

• 6

• 8