Solving Quadratic Equations: Factoring and ZPP Techniques

What property allows us to conclude that at least one factor of a product is zero if the product equals zero?

• Commutative property

• Zero product property

• Associative property

• Distributive property

If the equation (2x + 3)(x - 8) = 0 is given, what is a possible value of x?

• -8

• 3

• 8

• -1.5

In the equation 3x(7x - 4) = 0, what is one solution for x?

• 3

• 4/7

• -4/7

• 0

What is the solution for x in the equation 3x + 1 = 0?

• -1/3

• 1

• 0

• 1/3

How do you determine the correct factors for the quadratic expression 3x^2 + 5x + 2 = 0?

• By using the quadratic formula

• By completing the square

• By factoring

• By graphing

What is the correct factorization of the quadratic expression 3x^2 - 5x - 2 = 0?

• (3x + 2)(x - 1)

• (3x - 2)(x + 1)

• (3x + 1)(x - 2)

• (3x - 1)(x + 2)

If a quadratic equation is set to a non-zero constant (e.g., equals 11), what must be done before applying the zero product property?

• Divide all terms by the constant

• Subtract the constant from both sides

• Add the constant to both sides

• Multiply all terms by the constant

In the equation 10n^2 + 11n + 3 = 11, what is a correct step towards solving it using the zero product property?

• Multiply each term by 11

• Subtract 11 from both sides

• Divide each term by 11

• Add 11 to both sides

What is a solution for n in the equation 5n(2n - 1) = 0?

• 1

• -0.5

• 0.5

• 0

For the equation 2W^2 - 15W - 8 = 0, what is one of the solutions for W?

• -8

• 0.5

• -0.5

• 8