REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: 

x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: 

x²-12x+27

(x-9)(x-3)

300

Factor into two binomials: 

x²+2x-24

(x+6)(x-4)

400

Factor into two binomials: 

x²-5x+6

(x-3)(x-2)

500

Factor into two binomials: 

y⁴-7y²-18

(y²-9)(y²+2)

For an extra 50 points can you factor it completely?

Factoring trinomials when a>1

100

Factor 

2x²-7x+6

(2x-3)(x-2)

200

Factor 

9x²+6x+1

(3x+1)(3x+1)

300

Factor 

2x²-x-6

(x-2)(2x+3)

400

Factor 

4y²+12y+9

(2y+3)(2y+3)

500

Factor: 

2x⁴+x²-6

(x²+2)(2x²-3)

Factor using the GCF

100

Factor: 

3x²-12x

3x(x-4)

200

Factor:

x⁵-x³

x³ (x²-1)

300

Factor: 

y³+2y

y (y²+2)

400

Factor: 

4ab²-12a²b

4ab(b-3a)

500

Factor:

x²-4x⁴

x²(1-4x²)

Factor completely

100

Factor completely: 

a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: 

x⁴-81

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

300

Factor completely: 

y⁴-2y²-63

(y²+7)(y+3)(y-3)

400

Factor completely: 2x³+14x²-60x

2x(x+10)(x-3)

500

Factor completely: 

80-5d²

5(4+d)(4-d)

Factoring he difference of two perfect squares

100

Factor: 

x²-16

(x+4)(x-4)

200

Factor: 

9-x²

(3+x)(3-x)

300

Factor:

25y²-4k²

(5y+2k)(5y-2k)

400

Factor:

4x²-49

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

500

Factor:

x²+100

Can not be factored because of the plus sign.

For a bonus 50 points: What type of solutions would this create?