Solving Quadratics by Factoring.

Solving Quadratics by Factoring

Lets work through another one together

Lets work through another example together!

Multiple Choice

$$x^2-4=0$$  

• (2.2)

• (0,4)

• (-2,2)

• (0,-4)
  

Multiple Choice

$$x^2+7x+12=0$$  

• (4,3)

• (-4,-3)

• (6,2)

• (-6,2)

Multiple Choice

$$3x^2-3x-36=0$$  

• (3,6)

• (-3,3

• $$\left(-4,3\right)$$  

• $$\left(4,3\right)$$  

Multiple Choice

Factor
k² - 2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Multiple Choice

Solve for the values of x:
(x - 3)(x + 6) = 0

• { -3, -6 }
• { 3, -6 }
• { -3, -6 }
• { 3, 6 }

Multiple Choice

Solve using Zero-Product Property.
(x+4)(x-3) = 0

• x = 4 and x = -3
• x = 2 and x = 1
• x = -4 and x = 3
• x = -2 and x = 1

Multiple Choice

Solve
x² + 9x + 20 = 0

• x = -2, x = -10
• x = -3, x = -4
• x = -4, x = -5
• x = -4, x = -6

Multiple Choice

Solve
x² + 13x + 12 = 0

• x = -1, x = -12
• x = -1, x = -24
• x = -2, x = -6
• x = -2, x = -12

Multiple Choice

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

Multiple Choice

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5
• x = 20 and x = -9
• x = 4 and x = 5
• x = -4 and x = 5

Multiple Choice

Solve by factoring:
x² - 6x + 5 = 0

• -6, -1
• -5, -1 
• 1, 6
• 5, 1

Multiple Choice

Solve by factoring.
z² - 6z - 27 = 0

• z = 3 or z = 9
• z = 3 or z = -9
• z = -3 or z = 9
• z = -3 or z = -9

Multiple Choice

Solve:

k² - 2k - 24 = 0

• k = -4, 6

• k = -4, -6

• k = -6, 1

• k = 4, -6

Multiple Choice

x² + 4x - 32 = 0

• x= -8, 4

• x= 8, -4

• x= -8, -4

• x = -2, 16

Multiple Choice

Solve by taking the square root:

x² = 49

• -7

• 7

• 49

• ±7

Multiple Choice

2x²=100

• x = ±25

• x = ±√50

• x = ±√100

• x = ±√5

Multiple Choice

Solve by taking square roots:
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution