Quadratic Equations by Factoring Quiz

What does the zero product property state about a product that equals zero?

• The numbers must be positive

• At least one of the numbers must be zero

• The product is undefined

• Both numbers must be zero

Which of the following is a correct application of the zero product property?

• If ab = 0, then a = 0 or b = 0

• If ab = 0, then a = b

• If ab = 0, then a and b are both negative

• If ab = 0, then a and b are both positive

What is the first step in solving quadratic equations by factoring?

• Factor the quadratic

• Solve for x

• Set the equation to zero

• Identify the GCF

Which method is used when factoring a quadratic with a leading coefficient of 1 and three terms?

• Trinomial factoring

• Completing the square

• Extracting square roots

• Difference of squares

What should you do after factoring a quadratic equation?

• Graph the equation

• Combine like terms

• Set each factor equal to zero

• Add the factors

In the example with 4x^2 - 9 = 0, what factoring technique is applicable?

• Quadratic formula

• Trinomial factoring

• GCF extraction

• Difference of squares

What is the solution for x in the equation 2x^2 - 5x + 3 = 0 after factoring?

• x = 1, x = 3

• x = 0, x = 3/2

• x = -1, x = 3

• x = 1, x = -3/2

What is the result of factoring the equation x^2 - 9x - 9 = 0?

• x - 9, x + 1

• x + 9, x - 1

• x - 1, x + 9

• x + 1, x - 9

How do you adjust an equation that is not initially set to zero?

• Add the constant to both sides

• Subtract the constant from both sides

• Multiply each term by the leading coefficient

• Divide each term by the leading coefficient

What are the solutions for the equation x^2 - 13x + 42 = 0 after factoring?

• x = 42, x = -13

• x = -6, x = -7

• x = 13, x = -42

• x = 6, x = 7