Solving a factored quadratic equation using the zero product property

The video tutorial explains the zero product property, which allows solving equations by setting each factor to zero. It demonstrates solving equations step-by-step, ensuring the variable X is positive. The tutorial also introduces set notation, showing how solutions can be represented as a set.

What does the zero product property state?

• If a product of terms is zero, the terms are equal.

• If a product of terms is zero, none of the terms can be zero.

• If a product of terms is zero, at least one term must be zero.

• If a product of terms is zero, all terms must be zero.

How do you solve for X when given the equation -X = 0?

• Multiply by 0.

• Add 1 to both sides.

• Divide by -1.

• Subtract 1 from both sides.

Why is it important to ensure X is positive when solving equations?

• To simplify the equation.

• To avoid negative numbers.

• To ensure the solution is valid.

• To make calculations easier.

What does multiplying by -1 achieve when solving for X?

• It eliminates X.

• It changes the equation.

• It makes X positive.

• It makes X negative.

What is a solution set?

• A set of possible solutions.

• A set of equations.

• A set of numbers.

• A set of variables.