Factoring Form to Standard Form

Factor:
 n² + 10n + 25

• (n + 5)(n - 5)

• (n + 25)(n + 1)

• (n - 5)²

• (n + 5)²

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:   x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

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)

Fully Factor the Following
216x³+125

• 6(x+5)³

• (6x+5)³

• (6x+5)(6x²-30x+25)

• (6x+5)(36x²-30x+25)

Is this a perfect square trinomial?
x² + 16x + 64

• Yes

• No

Factor

x² + 18x + 81                      

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²

Put into standard form: (x - 3)²

• x² + 3x + 9

• x² - 3x - 9

• x² + 6x - 9

• x² - 6x + 9

Put into standard form: (x + 6)²

• x² + 6x + 12

• x² + 6x + 36

• x² + 12x + 6

• x² + 12x + 36