Factoring: GCF, DOTS, and Perfect Squares

Factor:
10x + 15

• 100x + 150
• 10(x + 5)
• 1(10x + 15)
• 5(2x + 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the GCF? 5x²+20x

• 5
• x
• 5x
• 20x

Factor q² - 121

• (q - 11) (q - 11)

• (q + 11) (q - 11)

• (q + 11) (q + 11)

• Can't factor using Diff. of Squares

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
24c⁵ - 12c³

• 6(4c⁵ - 2c³)
• 12c³(2c²)
• 12c³(2c² - 1)
• 12c³(2c² - 0)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor x² - 49

• (x - 7)(x + 7)

• (x - 7)(x - 7)

• (x + 7)(x + 7)

• Does not factor

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor

x² + 18x + 81

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
 n² + 10n + 25

• (n + 5)(n - 5)
• (n + 25)(n + 1)
• (n - 5)²
• (n + 5)²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

For each standard form quadratic, determine the most appropriate method for factoring

Groups:

(a) Greatest Common Factor

,

(b) Difference of Squares

,

(c) Perfect Square

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3