Solving Quadratic Equations by Factoring

What does the zero product property imply?

• If the product of two numbers is zero, at least one of the numbers must be zero.

• If the product of two numbers is zero, both numbers must be zero.

• The product of two numbers can never be zero.

• The zero product property is not applicable to quadratic equations.

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

• Divide each term by the leading coefficient.

• Calculate the discriminant.

• Identify pairs of numbers that multiply to the constant term and add to the coefficient of the middle term.

• Graph the quadratic equation.

What role does the zero product property play in solving quadratic equations?

• It is used to multiply the factors of the equation.

• It is used to add the factors of the equation.

• It helps us graph the quadratic equation.

• It allows us to set each factor equal to zero to find the roots of the equation.

How do you solve a quadratic equation by factoring?

• By multiplying each factor by zero.

• By setting each factor equal to zero and solving for the variable.

• By dividing each factor by zero.

• By adding each factor to zero.

What is the solution to the equation x^2 + 3x - 18 = 0?

• x = -18, x = 3

• x = 18, x = -3

• x = 6, x = -3

• x = -6, x = 3

What is the solution to the equation x^2 - 2x - 24 = 0?

• x = -24, x = 2

• x = -4, x = 6

• x = 4, x = -6

• x = 24, x = -2

What is the solution to the equation y^2 + 5y + 6 = 0?

• y = 5, y = 6

• y = -5, y = -6

• y = 2, y = 3

• y = -2, y = -3

How do you rearrange an equation to make it ready for factoring?

• By adding a constant to both sides of the equation.

• By multiplying the entire equation by zero.

• By ensuring the equation is set to zero.

• By dividing the entire equation by the leading coefficient.

What is the solution to the equation x^2 - 10x + 16 = 0?

• x = 2, x = 8

• x = -2, x = -8

• x = 10, x = -16

• x = -10, x = 16

What is the solution to the equation x^2 + 11x + 18 = 0?

• x = -2, x = -9

• x = 2, x = 9

• x = -11, x = -18

• x = 11, x = 18