Factoring Difference of Squares v1 (Lana)

Factoring: Special Products and GCF's

100

Simplify  (x - 6)(x + 6)

x² - 36

200

Factor using GCF: 

15a-5a²

5a(3-a)

300

Factory (GCF & Diff. of Cubes):

3x³ - 3

3x³ - 3 = 3(x-1) (x² + x + 1)

400

Factor (GCF & Diff. of Squares): 

27h³ - 48h

3h (3h - 4) (3h + 4)

Hint: 3h (9h² - 16)

500

Simplify:

(x³-1) / (x²-1)

(x²+x+1)/ (x+1)

Hint:  (x-1) (x²+x+1) / [ (x-1) (x + 1) ]

Factoring Difference of Squares

100

A) x² - 4      B) x² - 5

A) (x+2)(x-2)

B) PRIME POLYNOMIAL: A polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients.

200

n² - 64

(n+8)(n-8)

300

64m² - 9y²

(8m-3y)(8m+3y)

400

4c² - 5d²

What is PRIME

500

32a² - 50b²

 2(4a+5b)(4a-5b)

Factoring Perfect Squares

100

c²-6c+9

What is (c-3)²

200

4d² - 4d + 1

What is (2d-1)²

300

r² +4r + 4

(r+2)²

400

2w² - 4w +9

Not a perfect square

500

9n² + 30n + 25

(3n+5)²

Equations 1

100

x² - 25 = 0

x = 5, x = -5

200

(5p)² - 16 = 0

p = - 4/5, p = 4/5

300

81-4b² = 0

(2b)²=9²

2b = +, - 9/2

b=4.5, b= - 4.5

400

(1/16) y² = 81

y² =9² * 4²

y² =(9 * 4)²

y = +,- 36

500

27h³ = 48h

h=0, h= 4/3, h=-4/3

Equations 2

100

x² + 4x + 4 = 0

What is (-2)

200

x² +10x + 25 = 0

x= -5

300

25k² +20k +4 = 0

k = -2/5

400

16n² + 16n + 4 = 0

n= -1/2

500

p² + 2p + 1 = 49

What is (-8, 6)