Factoring 3/31

Greatest Common Factor

100

2x^4y^2, 6x^3y^2

2x³y²

200

15c^3d, 30c^2d^2

15c²d²

300

-11y^2z^5, 7z^4

-z⁴

400

-16r^3s^2t^4, 12r^2s^2t^3

-4r²s²t³

500

4pq^3r^4, -16p^2r^3

-4pr³

Factoring Trinomials

100

x^2-10x+25

(x-5)(x-5)

200

x^2+7x+12

(x+3)(x+4)

300

x^2-5x+4

(x-4)(x-1)

400

x^2+5x+6

(x+3)(x+2)

500

-3x^3+3x^3+36x

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

Complete the Square

100

x^2-64

(x+8)(x-8)

200

9x^2-36

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

300

49x^2+36

Cannot be factored/Prime

What if it was 49x²-36?

(7x+6)(7x-6)

400

45u^2-20v^2

5(3u+2v)(3u-2v)

500

36a^2-121b^2

(6a+11b)(6a-11b)

Grouping

100

x^2-xy-4x+4y

(x-y)(x-4)

200

2c-cd+2d-d^2

(2-d)(c+d)

300

2pxy-2qxy+py^2-qy^2

y(p-q)(2x+y)

400

6x^2u-3x^2v+2yu-yv

(2u-v)(3x²+y)

500

21x^3-84x^2+15x-60

3(x-4)(7x²+5)

Finding Roots (EDIT THIS)

100

4y²=20y

y=0, y=5

200

p²-2p-15=0

p=-3, p=5

300

4u²=9

u= -3/2, u=3/2

400

4r²=-12r-9

r=-3/2

500

3t²=11t+4

t=-1/3, t=4