Solving Quadratics Using Factoring

Solve the equation by factoring.
x² + 13x + 40 = 0

• -8, 5

• -40, -1

• 5, 8

• -8, -5

Solve by factoring.

x² + 9x + 20 = 0

• x = -2, x = -10

• x = -3, x = -4

• x = -4, x = -5

• x = -4, x = -6

Solve the equation using the zero product property.

(x- 9)(x + 3) = 0

• x = 3 or x = 9

• x = 3 or x = -9

• x = -3 or x = 9

• x = -3 or x = -9

Find the solutions. (Solve for b.)

• -2, 4

• -8

• 8, -8

• 2, -4

What are the solutions?

• -2, 4

• -8

• ±8

• No real solution

Solving the equation f(x) = x² - 8x + 15 =0, what are the two factors we can create to solve this equation? ​ (a)   .

• (x - 3) and (x - 5)

• (x + 3) and (x + 5)

• (x - 15)

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

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

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

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

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