Factoring and Quadratics

Factor:
x² - 10x + 24

• (x - 6)(x - 4)

• (x + 6)(x + 4)

• (x - 12)(x + 2)

• (x - 8)(x - 3)

Solve
a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x^2=20+x

• x = 4 or x = -5

• x = -4 or x = 5

• x = -4 or x = -5

• x = 4 or x = 5

Tags

CCSS.HSA-REI.B.4B

• x = 2 or x = 5

• x = -2 or x = 5

• x = 2 or x = -5

• x = -2 or x = -5

Tags

CCSS.HSA-REI.B.4B

Which answer choice correctly shows the quadratic equation above in factored form?

• (x + 7)(x - 2) = 0

• (x - 7)(x + 2) = 0

• (x - 7)(x - 2) = 0

• (x + 7)(x + 2) = 0

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Tags

CCSS.HSA-REI.B.4B

A new high school gym is painting the gym floor to represents the boundaries of a volleyball court. The court is shaped like a rectangle and has an area of 162 meters. The length of the court is 9 meters greater than the width. The situation can be represented by the equation w2 + 9w- 162 = 0. What is the width of the volleyball court in meters?

Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

A.8A

Solve by factoring!

• -2, 4

• -8

• ±8

• No real solution

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² + 3x - 18 = 0
Put the solutions in order from least to greatest.

{​ (a)   ,​ (b)   }

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

{​ (a)   ,​ (b)   }

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Tags

CCSS.HSA-REI.B.4B