FACTORING POLYNOMIALS

Factoring trinomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

Factoring Trinomials- harder

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 2x²-12x+10

2(x-1)(x-5)

Factoring by Substitution or Difference of 2 Squares

100

Factor completely: 4x²-9

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

200

Factor completely: 81x⁴-1

(9x²+1)(3x+1)(3x-1)

300

Factor completely:

a²-(b-2)²

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

400

x⁸+7x⁴+10

(x⁴+2)(x⁴+5)

500

Factor completely:

3(x-2)²-5(x-2)-2

(3x-5)(x-4)

Factor by GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 7x(x+y)-(x+y)

(x+y)(7x-1)

400

Factor by GCF:

 6x²(5x-1)+(5x-1)

(5x-1)(6x²+1)

500

Factor by GCF: 

2x² + 13x + 15

(x+5)(2x+3)

Factor by Grouping

100

Factor completely: x²+2x+4x+8

(x+2)(x+4)

200

Factor completely:

 xy-5x+9y-45

(x+9)(y-5)

300

Factor completely:

3x³-2x²-6x+4

(x²-2)(3x-2)

400

Factor completely:

cx-dx+dy-cy

(c-d)(x-y)

500

Factor completely: xⁿyⁿ-xⁿ+2yⁿ-2

(xⁿ+2)(yⁿ-1)