ch5 Factoring

Factor:

x³ - 343

• (x + 7) (x² - 7x + 49)

• (x² + 1) (x - 343)

• (x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)

Factor:   x³ + 1

• (x + 1)³
• (x+1)(x² - x + 1)
• (x - 1) (x² + x - 1)
• (x + 1)(x² - 2x + 1)

Factor:

4x² - 25

• (2x + 5) (2x - 5)

• (2x - 5)²

• (2x + 5)²

• 2x + 5(2x - 5)

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Use the X-Puzzle

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

49n² - 25

• Not Factorable
• (3n + 5)(3n - 5)
• (7n + 5)(7n - 5)
• (5n + 7)(5n - 7)

x² - 16

• (x + 4) (x - 4)

• (x + 8) (x - 2)

• (x + 4)²

• x + 4(x - 4)

x³ - 27

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

8x³ + 27

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

Complete the formula
a³-b³=

• (a-b)(a²+ab+b²)
• (a+b)(a²-ab+b²)
• (a-b)(a²-ab+b²)
• (a+b)(a²+ab+b²)