Factoring Quadratic Equations

Factor
r² -16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Factor
x² + 11x + 24

• (x + 6)(x + 4)
• (x + 10)(x + 2)
• (x + 8)(x + 3)
• (x + 2)(x + 12)

Factor
x² - x - 6

• (x + 1)(x - 2)
• (x + 3)(x - 2)
• (x - 3)(x + 2)
• Not Factorable

Take out the Greatest Common Factor
18a²-15a

• 15a(3a-1)
• 3a(6a-1)
• 3(6a-5)
• 3a(6a-5)

What is the GCF of the trinomial?
3x² - 9x -120

• 3
• 2
• 6
• 9

Factor
12x + 9

• 3(4x + 3)
• x(12+9)
• 3(4x - 3)
• not factorable

Tags

CCSS.7.EE.A.1

Factor by GCF:
56a³ - 8a

• 8a²(56a³-8a)
• 8a(7a²-1)
• 8a(7a³-a)
• 8a²(35a²-a)

Tags

CCSS.HSA.APR.C.4

Factor 
x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Tags

CCSS.HSA.APR.C.4

How do you factor a trinomial when the coefficient of x² is 1? (ex: x² - 2x + 10)

• Take out the GCf then you're done
• Difference of two squares 
• Find what multiplies to the last number and adds to the middle
• Slip & Slide

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• roots or x-intercepts

Tags

CCSS.HSF-IF.C.7A