Factoring Quadratics

Factor
k² - 2k - 24

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

Factor out the GCF:
12x + 6

• 6(2x + 1)
• 3(4x + 2)
• 6x(2x + 1)
• 2(6x + 3)

Tags

CCSS.7.EE.A.1

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

Factor Completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

q² - 121

• (q + 11) (q - 11)
• (q - 11) (q - 11)
• (q + 11) (q + 11)
• Can't factor using Diff. of Squares

Tags

CCSS.HSA.APR.C.4

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.REI.B.4

Factor:
x² + 5x - 24

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.REI.B.4

Find the factors of 5x² + 20x + 20

Take out the GCF first!

• 5(x+2)(x+2)

• 5(x-2)(x-2)

• 5(x+2)(x-2)

• (5x+2)(x+2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
18a² - 15a

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1