Factoring and Quadratics

Factor GCF

100

x⁴-3x³+6x² 

x²(x²-3x+6)

200

44x-22y-121w

11(4x-2y-11w)

300

x⁵y³+x³y⁵

x³y³(x²+y²)

400

24x³+30x⁵-54x²

6x²(4x+5x³-9)

500

144x³y⁵w²-72x²y⁴w

72x²y⁴w(2xyw-1)

Factor Trinomial

100

x²+20x+64

(x+4)(x+16)

200

x²-2x-24

(x-6)(x+4)

300

x²-11x+24

(x-8)(x-3)

400

x²+8x-48

(x-4)(x+12)

500

x²-100x+99

(x-1)(x-99)

Factor Difference of Squares

100

x²-1

(x-1)(x+1)

200

x²-144

(x-12)(x+12)

300

x²-10000

(x-100)(x+100)

400

81x²-196

(9x-14)(9x+14)

500

4x⁴-9y²

(2x²-3y)(2x²+3y)

Solve for x

100

x²=9

x=3,-3

200

x²-9/4=0

x=3/2,-3/2

300

x²+16x+64=0

x=-8

400

x²-3x-54=0

x=9,-6

500

x²+6x-11=0

x=-3+sqrt(20)

x=-3-sqrt(20)

Quadratic Function Graphs

100

what is the coordinate of the y intercept of 

y=6x²-4x+6

(0,6)

200

what is the coordinate of the x intercept of 

y=x²-2x+1

(1,0)

300

What is the coordinate of the vertex of 

y=x²+2x+10

(-1,9)

400

What is the equation for the Axis of Symmetry for

y=6x²+10x+100000

x=-5/6

500

What are the x intercepts of 

y=3x²-13x-10

(5,0)    and    (-2/3,0)