Final Review

solving quadratic equations by factoring

100

solve:

3x²-16x-12

(x-6) and (3x+2)

200

solve:

2x²+38x=-176

x=-11 and x=-8

300

solve:

3x²-9x-30=0

x=-5  and x=-2

400

solve:

x²+2x+25=11x+5

x=5  or x=4

500

solve:

4x²+5x-6

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

complete the square

100

x²+10x+8=0

x=-5+17

200

x²-6x-16=0

x=3+5 

x=8

x=-2

300

x²+7x+15=0

x=-7/2+ 11/2i

400

x²4x+5=0

x=2+i or x=2-i

500

2x²-8x-3=0

x-2= 22/2

matrix operations

100

log₄(x-4)+log₄(x-10)=2

x=12

200

log₂(x-5)=3

x=13

300

log₃(x+1)=2

x=8

400

log₂(3x-8)=2

x=11

500

log(x+2)+log(x-1)=1

x=-4,2

rewriting equations and formulas

100

y-x=1

x=y-1

200

2y+x=-8

x=-2y-8

300

y-5=-15

y=-10

400

16=4x+8y

y==1/2x+2

500

2y-3x=y+6

y=3x+6

adding, subtracting, and multiplying polynomials

100

4x²(x³-x+3)

4x⁵-4x³+12x²

200

(-3x²-2)-(-x²+7)

-2x²-9

300

7m⁴(2m³-4m²+3m-5)

14m⁷-28m⁶+21m⁵-25m4

400

(x-3)(4x²+5x-6)

4x³-7x²-21x+18

500

(x²-4x-10)+(x²-9x+3)

2x²-13x-7