Factoring All Types and Solving Quadratics

Factor the Difference of Squares

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x - 7y³)

• Not Factorable

Tags

CCSS.HSA.APR.C.4

Factor.

18x² - 50

• 2 ( 9x² - 25 )

• ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x - 5 ) ( 3x - 5 )

Tags

CCSS.HSA.APR.C.4

Factor

x² + 81

• Not Factorable

• ( x - 9 ) ( x + 9 )

• ( x + 9 ) ( x + 9 )

• ( x - 9 ) ( x - 9 )

Tags

CCSS.HSA.APR.C.4

Factor

x³ + 7x² - 2x - 14

• (x² - 2)(x - 7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)

Factor the Complex Trinomial

3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

Factor

p³ - 3p² - 16p + 48

• p² ( p - 3) (p - 3)

• (p² - 16) (p - 3)

• (p - 3) (p + 4) (p - 4)

• (p - 3) (p² - 16)

Factor x³ + 2x² - 49x - 98 

• (x² - 49) (x + 2) 
• (x² - 49) (x + 2) (x + 2) 
• (x + 7) (x - 7) (x + 2) 

x³ - 27

• (x - 4)(x² + 4x + 16)
• (x + 3)(x² - 4x + 16)
• (x - 1)(x² + 1x + 1)
• (x - 3)(x² + 3x + 9)

Tags

CCSS.HSA.APR.C.4

8x³ + 27

• (3x - 2)(9x² + 6x + 4)
• (3x - 1)(9x² + 3x + 1)
• (2x + 3)(4x² - 6x + 9)
• (2x - 1)(4x² + 2x + 1)

Tags

CCSS.HSA.APR.C.4

Factor

3x² + 18x +15

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime