How to factor and solve a trinomial when it is not set to zero

The video tutorial reviews solving linear equations and introduces quadratic equations, highlighting the differences between them. It explains the process of solving quadratic equations by factoring and applying the zero product property. The tutorial demonstrates setting quadratic equations to zero, factoring them, and solving for the variable to find the solution set.

What is the first step when solving equations with variables on both sides?

• Combine all terms on one side

• Get the variables to the same side

• Divide both sides by the variable

• Multiply both sides by zero

Why can't terms with different powers be combined in quadratic equations?

• They are not like terms

• They are both linear

• They are both squared

• They have the same coefficient

What is the main goal when dealing with a quadratic equation?

• Combine all terms

• Divide by the highest power

• Make the linear term positive

• Set the equation equal to zero

What property is used to solve quadratic equations by factoring?

• Commutative Property

• Distributive Property

• Associative Property

• Zero Product Property

After factoring a quadratic equation, what is the next step?

• Add the factors together

• Multiply the factors

• Set each factor equal to zero

• Divide the factors by the variable