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)

Factor 4 term Polynomials

100

Factor:

x² - 5x + 6x - 30 

(x - 5)(x - 6)

200

Factor:

y²  + 6y - 3y - 18

(y + 6)(y - 3)

300

Factor: 

h³ - 5h² - 6h + 30

(h - 5)(h² - 6)

400

Factor: 

35 + 5a + 7a² + a³

(a - 7) (a² + 5)

500

Factor: 12a³ - 9a² + 4a - 3 

(4a - 3)(3a² + 1) 

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: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Miscellaneous

100

Write an expression for the area of a rectangle in simplified form. A=b(h)

b= 3x + 2

h= 6x + 1

(3x+2)(6x+1)

Box method : 18x² + 15x + 2

200

Simplify: 

(x+4)²

(x+4)(x+4)

Box method: X² + 4x + 4x + 16 

                = x² + 8x + 16

                      

300

Factor: x² - 25

x² - 5²

^{(x + 5) (x - 5)} 

400

simplify: (x - 4x² + 5) + (2x² - 3x + 4)

-2x² - 2x + 9 

500

Simplify the following: (6w + 4) - (2w - 6)

4w + 10