Algebra II Unit 2 Review

Factoring out GCF

100

Factor: 15x-12 

3(5x-4)

200

Factor: 8x^2-x 

x(8x-1)

300

Factor: xy-x^3 

x(y-x^2)

400

Factor: x^2-x^5y^2 

x^2(1-x^3y^2)

Difference of Squares

100

Factor: x^2-64 

(x+8)(x-8)

200

Factor: 121-16x^2 

(11+4x)(11-4x)

Trinomial Factoring (a=1)

100

Factor: x^2+10x+9

(x+1)(x+9)

200

Factor: x^2-11x+30

(x-5)(x-6)

300

Factor: x^2+2x-120 

(x+12)(x-10)

Trinomial Factoring (a≠1)

400

Factor: 2x^2-7x-4 

(2x+1)(x-4)

500

Factor: 3x^2+22x+24

(3x+4)(x+6)

Grouping

100

Factor: 2x(5x+1)+3(5x+1) 

(5x+1)(2x+3)

200

Factor: 7x(2x+1)-(2x+1) 

(2x+1)(7x-1)

400

Factor: 4x ^3 +3x^2 −44x−33 

(x^2-11)(4x+3)

500

(Bonus Difficulty) Factor:  x^3+x^2-25x-25 

(x+5)(x-5)(x+1)