Unit 2 ;p

Solving Quadratics by Factoring

100

x²+9x+4=-x+4 

x=0

x=-10

200

x²-4x=0⁷

x=0

x=4

300

3x(x-2)(2x+1)=0

x=0

x=2

x=-1/2

400

3x(x-2)(2x+1)=0

x=0

x=2

x=-1/2

500

-2(3x-4)(x²-100)=0

x=4/3

x=10

x=-10

Factor by Grouping

100

x³-2x²-15x+30

(x²-15)(x-2)

200

4x³-5x²+36x-45

(x²+9)(4x-5)

300

16x³-12x²-4x+3

(2x+1)(2x-1)(4x-3)

400

2x³-7x²-12x+42

(x²-6)(2x-7)

500

4x³-7x²+64x-112

(x²+16)(4x-7)

Axis of symmetry and vertex

100

x²-14x+52

x=7

200

x²-5

x=0

300

Find the coordinate of the vertex

y=x²-1

vertex:(0,-1)

400

Find the coordinate of the vertex

y=x²+6x+8

vertex:(-3,-1)

500

Find the coordinate of the vertex

y=5x²-80x+325

vertex:(8,5)

Mixed Multi Step Factoring

100

-5x⁴+5=0

x={i,-i,-1,1}

200

-3x⁵+3x⁴+90x³=0

x={0,6,-5}

300

-6x⁴+5x³+4x²=0

x={0,4/3,-1/2)

400

2x³-6x²+32x-96=0

x={3,4i,-4i}

500

-2x⁴+4x²=0

x={0,radical 2, -radical 2}