Solving Quadratic Equations by Factoring

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

• Graph the equation

• Divide by the highest coefficient

• Set the equation to zero

• Multiply the coefficients

Tags

CCSS.HSA-REI.B.4B

Which two numbers add up to 6 and multiply to 8 in the equation x^2 + 6x + 8 = 0?

• 2 and 6

• 2 and 4

• 3 and 5

• 1 and 8

Tags

CCSS.HSA-REI.B.4B

What are the solutions to the equation x^2 + 6x + 8 = 0?

• x = -2 and x = -4

• x = -1 and x = -8

• x = 1 and x = 8

• x = 2 and x = 4

Tags

CCSS.HSA-REI.B.4B

What is the coefficient of x^2 in the equation 2x^2 + 20x + 50 = 0?

• 1

• 2

• 50

• 20

What do you get when you divide the equation 2x^2 + 20x + 50 = 0 by 2?

• x^2 + 10x + 50 = 0

• x^2 + 10x + 25 = 0

• x^2 + 5x + 25 = 0

• x^2 + 20x + 25 = 0

Tags

CCSS.HSA-REI.B.4B

What are the factors of 25 that add up to 10 in the equation x^2 + 10x + 25 = 0?

• 1 and 25

• 2 and 12

• 5 and 5

• 10 and 15

Tags

CCSS.HSA-REI.B.4B

What is the solution to the equation x^2 + 10x + 25 = 0?

• x = 5

• x = -10

• x = -5

• x = 10

Tags

CCSS.HSA-REI.B.4B

What is the graphical interpretation of a quadratic equation with one solution?

• The parabola intersects the x-axis at two points

• The parabola does not intersect the x-axis

• The parabola touches the x-axis at one point

• The parabola is a straight line

Tags

CCSS.HSF-IF.C.7A

What are the factors of 30 that have a difference of 1 in the equation x^2 - x - 30 = 0?

• 5 and 6

• 3 and 10

• 2 and 15

• 1 and 30

Tags

CCSS.HSA-REI.B.4B

What are the solutions to the equation x^2 - x - 30 = 0?

• x = 6 and x = -5

• x = -6 and x = -5

• x = 6 and x = 5

• x = -6 and x = 5

Tags

CCSS.HSA-REI.B.4B