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 completely: 2x²-12x+10

(2x-2)(x-5)

Factor by Grouping

100

3x²+2x+12x+8

(x+4)(3x+2)

200

x³-10-2x²+5x

(x-2)(x²+5)

300

3x²+6+2x+x³

(x²+2)(x+3)

400

105ab-90a-21b+18

3(5a-1)(7b-6)

500

16x²c+8xyd-16x²d-8xyc

8x(2x-y)(c-d)

Factor Binomials

100

Factor: 16x²-81

(4x-9)(4x+9)

200

Factor: 32x²-50y²

2(4x-5y)(4x+5y)

300

Factor:x³-8y³

(x-2y)(x²+2xy+4y²)

400

Factor: (p+q)³ +(p-q)³

2p(3q²+p²⁾

500

Factor: 8x³+125y⁹

(2x+5y³)(4x²-10xy³+25y⁶)

Miscellaneous Factoring

100

p²+3p-18

(p-3)(p+6)

200

12x^2-75z⁴

3(2x+5z²)(2x-5z²)

300

Factor: (y+5)²-4(y+5)-5

y(y+6)

400

x^4y-16

(x^2y+4)(x^y-2)(x^y+2)

500

112xy-16x+128x²-14y

2(8x-1)(7y+8x)