Factoring Polynomials

Factoring Trinomials 1

100

Factor:

x^2 + 8x + 12

Factored form:

(x + 6)(x + 2) 

200

Factor: 

m^2 - 11m + 18

Factored form:

(m - 9)(m - 2) 

300

Factor: 

x^2 + 5x - 24

Factored form:

(x + 8)(x - 3) 

400

Factor: 

y² - 6y - 7

Factored form

(y-7)(y+1)

500

  Factor completely: 

2x^3 - 10x^2 - 28x

Factored form

2x(x - 7) (x + 2) 

Factoring GCF

100

Factor completely:

30x^4 + 25x^2

Answer:  

5x^2(6x^2+5)

200

Factor Completely:

12x^3+16x^2

Answer:  

4x^2(3x+4)

300

Factor Completely:

18x^4+2x^2-6x

Factored Form:

2x(9x^3+x-3)

400

Factor Completely:

50x^2y^4-40xy^7

Factored form:

10xy^4 (5x - 4y^3) 

500

Factor completely: 

24x^3-6x

Factored form

6x(2x + 1)(2x - 1) 

Factoring DOTS

100

Factor Completely: 

x^2 - 36

Factored form:

(x-6)(x+6)

Difference of Two Squares

200

Factor Completely:

4x^2-9

Factored form: 

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

Difference of Two Squares

300

Factor Completely:

16x^2 - 49

Factored form:

(4x+7)(4x-7) or (4x-7)(4x+7)

400

Factor COMPLETELY:

25x^2 - 100

Factored form:

GCF then Difference of Two Squares

25(x + 2) (x - 2)

500

Factor Completely:

81x^6 - y^8

Factored form

(9x^3-y^4)(9x^3+y^4)

Factoring Trinomials 2

100

Factor:  

7x^2+19x+10

Factored form:

(7x+5)(x+2)

200

Factor Completely:

-5x^2-4x+12

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

300

Factor Completely:

8x^2+10x-3

Factored form:

(4x-1)(2x+3)

400

Factor Completely:

6x^2 + 8x - 64

Factored form:

2(3x-8)(x+4)

500

Factor Completely:

12x^2-22x-20

Factored form:

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

Factoring Mix

100

Factor Completely:

24x^2-36

Factored form:

12(x^2-3)

200

Factor Completely:

x^2+7x-18

Factored form:

(x+9)(x-2)

300

Factor Completely:

4x^2-24x+36

Factored form:

4(x-3)^2

400

Factor Completely:

30x^2+7x-2

Factored form:

(6x-1)(5x+2)

500

Factor Completely:

9/16x^2-25/64

Factored form:

(3/4x-5/8)(3/4x+5/8)