Factoring with GCF and Squares

Basic Trinomials

100

Factor completely:  

x² - 5x - 24

(x - 8)(x + 3)

200

Factor Completely: 

x² + 14x + 45

(x + 9)(x + 5)

300

Factor Completely: 

x² - 2x + 1

(x - 1)²

400

Factor completely:

m³ -13m² - 30

m(m - 15)(m + 2)

500

Factor completely: 

r² + 34r + 289

(r + 17)²

GCF

100

Find the Greatest common factor:

16x³ + 48x²

16x²

200

Find the greatest common Factor:

12xyz + 4xyz - 6xy

2xy

300

Find the greatest common factor:

91x² - 12y²

Prime

400

Find the Greatest Common Factor:

36x³y⁴ + 24x²y³ - 18x⁵y⁴

6x²y³

500

What is the greatest common factor of 

5a⁶b⁵c³ + 10a³b³c³ - 15abc³

5abc³

Difference of Squares

100

Factor Completely:

m² - 9

(m + 3)(m - 3)

200

Factor Completely:

225x⁴ - 256

(15x² + 16)(15x² - 16)

300

Factor completely:

9x²y² - 16

(3xy + 4)(3xy - 4)

400

Factor completely: 

x² + 16

Prime

500

Factor Completely: 

x⁴ - 1 

(x² + 1)(x + 1)(x - 1)

Mixed Factoring

100

Factor completely:

3x³ + 30x² + 63x

3x(x + 3)(x + 7)

200

Factor completely:

8x² - 18y²

2(2x + 3y)(2x - 3y)

300

Factor completely

4a³ + 4a² - 48a

4a(a + 4)(a - 3)

400

Factor the following polynomial completely:

110 - 21a + a²

(a - 10)(a - 11)

500

Solve the following: "answer must be in factor form"

(2a + 1)(b + 1) - (2a + 1)

(2a + 1)b

or

b(2a + 1)

Algebra 1

100

Simplify the expression:

6x(x + 4)

6x² + 24x

200

Simplify the expression:

(x + 7)(x + 5)

x² + 12x + 35

400

Simplify the following:

3x(x - 2) - 5x(2x + 6)

7x² - 36x

500

Rewrite this equation in standard form:

y = (x + 9)² + 19

y = x² + 18x + 100