Factoring and Solving Quadratic Equations

What is the main goal of solving quadratic expressions by factoring?

• To simplify the expression

• To determine the values of x that satisfy the equation

• To find the greatest common factor

• To convert the expression into a polynomial

What is the first step in factoring a binomial?

• Check for a difference of squares

• Identify the zero product property

• Simplify the expression

• Find the greatest common factor

How do you determine the greatest common factor of two numbers?

• By multiplying the numbers

• By adding the numbers

• By dividing the larger number by the smaller number

• By subtracting the smaller number from the larger number

What is the result of factoring a difference of squares?

• A single term

• A trinomial

• Two binomials

• A monomial

When factoring a difference of squares, what signs are used in the binomials?

• Both negative

• One positive and one negative

• No signs are used

• Both positive

What does the zero product property state?

• If a product is zero, at least one of the factors must be zero

• If a product is zero, the factors are negative

• If a product is zero, all factors must be non-zero

• If a product is zero, the factors are equal

How do you solve an equation using the zero product property?

• Divide all factors by zero

• Add all factors together

• Multiply all factors together

• Set each factor equal to zero and solve for x

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

• Check for solutions

• Apply the zero product property

• Factor the equation

• Simplify the equation

How can you verify the solutions of a factored quadratic equation?

• By multiplying the solutions

• By dividing the solutions

• By substituting the solutions back into the original equation

• By graphing the equation

In what form can the solutions of a quadratic equation be presented?

• In braces or with x

• As a fraction

• As a single number

• As a decimal