Factoring Jeopardy

Trinomials

100

x^2+4x-12

(x+6)(x-2)

200

p^2+18p+32

(p+16)(p+2)

300

m^4+28m^2+75

(m^2+25)(m^2+3)

400

y^10-5y^5+4

(y^5-4)(y^5-1)

500

w^16+17w^8+72

(w^8+8)(w^8+9)

GCF into DOTS

100

2x^2-8

2(x+2)(x-2)

200

5t^4-125

5(t^2+5)(t^2-5)

300

3x^3-27x

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

400

16m^8-64m^2

16m^2(m^3+2)(m^3-2)

500

27n^4-3

3(3n^2+1)(3n^2-1)

GCF into Tri

100

4x^2+12x+8

4(x+1)(x+2)

200

6x^2-30x+36

6(x-2)(x-3)

300

9x^2+3x-18

3(x-3)(x+2)

400

6x^3-6x^2-72x

6x(x-4)(x+3)

500

8x^3+16x^2-24x

8x(x+3)(x-1)

Double DOTS

100

x^4-16

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

200

x^8-81

(x^4+9)(x^2+3)(x^2-3)

300

16x^4-1

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

400

256x^4-1

(16x^2+1)(4x+1)(4x-1)

500

81x^4-256

(9x^2+16)(3x+4)(3x-4)

Misc.

100

What do we always look for first when factoring polynomials?

GCF

200

You can use this to check/verify your work when you are done factoring.

Box Method/Substitution

300

After factoring out a GCF, a trinomial is factorable if the leading coefficient is = to...

1

400

8x^3-18x

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

500

x^5+2x^3-3x

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