Factoring Quadratics: A Step-by-Step Approach

What are the factors of a quadratic equation that results in a product of 10 and a sum of 3?

• x + 5 and x - 2

• x + 3 and x - 3

• x + 10 and x - 1

• x + 2 and x - 5

What values of x satisfy the equation x + 5 = 0?

• x = 10

• x = 0

• x = -5

• x = 5

If a quadratic equation is set to zero, what is the next step to find the solutions?

• Multiply the factors

• Add the factors

• Subtract the factors

• Set each factor equal to zero

What are the solutions when the factors are x + 1 and x + 3?

• x = 0 and x = 2

• x = 1 and x = 3

• x = -2 and x = -4

• x = -1 and x = -3

How do you determine the sign of the solutions in a factored quadratic equation?

• Multiply the constants in the factors

• Change the sign of the constants in the factors

• The sign is always negative

• The sign is always positive

What are the solutions for the factors x - 3 and x - 7?

• x = -10 and x = -21

• x = 10 and x = 21

• x = -3 and x = -7

• x = 3 and x = 7

What is the result when the factor x - 4 is set to zero?

• x = -4

• x = 8

• x = 0

• x = 4

In a quadratic equation, if both factors are the same and set to zero, how many unique solutions exist?

• None

• Three

• Two

• One

What are the correct factors for a quadratic equation that needs to sum to -4 and has a product of 45?

• x - 5 and x - 9

• x + 5 and x + 9

• x - 9 and x + 5

• x + 9 and x - 5

What is the solution for the factor x + 9 = 0?

• x = 9

• x = 18

• x = -9

• x = 0