Solving Quadratic Equations by Factoring Techniques

What property is used to solve quadratic equations by setting factors to zero?

• Distributive property

• Factor theorem

• Quadratic formula

• Zero product property

What is the result of setting x - 9 = 0?

• x = 9

• x = -9

• x = 0

• x = 1

How do you verify a solution in a factored quadratic equation?

• Substitute back into the original equation

• Multiply the factors

• Add the factors

• Divide the factors

What are the factors of 24 that add up to -5?

• -8 and 3

• 3 and 8

• 5 and 19

• 8 and -3

What is the first step in factoring a trinomial?

• Identify the GCF

• Set the equation to zero

• Break into two binomials

• Find suitable factors

What does GCF stand for in the context of factoring?

• Greatest Common Factor

• General Calculated Formula

• Greatest Calculated Figure

• General Common Factor

What is the correct factorization of 9x^2 - 49?

• x^2 - 49

• 9x + 49

• 3x^2 - 7x

• 3x + 7 * 3x - 7

What is the solution for 3x + 7 = 0?

• x = -7/3

• x = 0

• x = 7/3

• x = 1

What should you always do after solving a quadratic equation by factoring?

• Simplify the equation further

• Check the solution by substituting back into the equation

• None of the above

• Factorize the equation again

Which of the following is a method to solve quadratic equations?

• Addition property

• Division method

• Zero product property

• Subtraction method