Quadratics part 1 test review

Factor

100

x²-3x+54

(x-6)(x+9)

200

x²-13x+40

(x-5)(x-8)

300

5x²-30x+40

5(x-2)(x-4)

400

x³-15x²+50x

x(x-10)(x-5)

500

5x²-18x+9

(5x-3)(x-3)

Find the solutions

100

x²-x-56

x=8,-7

200

x(x-20)

x=0,20

300

4x²-4x-8

x= -1,2

400

4x²-15x-25

x=5, -5/4

500

9x²+66x+21

x= -1/3, -7

Complex Numbers

100

(7+i) + (15 +30i)

22 + 31i

200

(3i -2) - (23i -3)

1 - 20i

300

(2i)(8-3i)

6+16i

400

(5-2i)(12-3i)

54 - 39i

500

(8 +3i) - 4i[(12-4i) +16i]

56 - 45i

Complete the square

100

x²+14x-15

x= 1,-15

200

x²-10x+26=8

5+-square root7

300

x²-4x+24

x= 2+- 4i square root 5

400

x²+2x +20=0

x = -1+-i square root19

500

x²-4x+1=-5

2+-i square root 2

Vertex form/vocab

100

Another name for solutions

X-int, roots, zeroes

200

Which part of the vertex is the max/min

Y

300

Axis of symmetry formula is

x=-b/2a

400

Put y=-x²-14x-59 in vertex form

y=-(x+7)^2-10

500

Put y=x²+16x+71 in vertex form

y=(x+8)^2 +7