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Factor Your Quadratics

100

Find the ROOTS: 

6x² + x - 35

-5/2 , 7/3

200

Find the ROOTS:
3x³ - 6x² - 297x

0, 11, -9

300

y = -2x² - 7x  
Find the VERTEX COORDINATE

(-7/4, 49/8)  or  (-1.75, 6.125)

400

Factor completely:  
x⁸ - y⁸

(x⁴+y⁴)(x²+y²)(x+y)(x-y)

Imaginarily Complex

100

Simplify:  
Square Root of " -180"

6i rt5

200

(3+2i)(4-i)

14+5i

300

Simplify:  (6-i)/4i
*Must write in a +/- bi form

-3/2 i - 1/4

400

Simplify:  (2-5i)/(3+2i)

*Must write in a+/-bi form.

-4/13 - 19/13 i

Many Nomials

100

Describe the End Behavior:  y= -x⁴+2x³-3x²-x-6

as x approaches -infinity, y approaches -infinity
as x approaches +infinity, y approaches -infinity

200

Sketch a possible graph:  y=x(x+3)²(x-5)²

No thank you

300

Factor Completely:  
5x⁵-10x⁴+25x³-50x²

5x²(x²+5)(x-2)

400

Solve COMPLETELY:

f(x) = 3x³-8x²-20x+16

-2, 2/3, 4

500

Solve COMPLETELY.

f(x)=5x⁵ − 15x⁴ − 4x³ + 12x² − 9x + 27

3, +/- 3rt5/5, +/- i

Inversed Pieces

100

Find the Inverse of the Relation:

(-5, 7), (-6, -8), (1, -2), (10, 3)

(7, -5), (-8, -6), (-2, 1), (3, 10)  

200

Find the Inverse Function:

y = -5/8x + 10

y = -8/5x - 16

300

Find the Inverse Function:

y = (x-6)²

y = +/- (rt x) + 6

400

Are they Inverses of eachother? 

f(x) = 1/2x - 7, g(x) = 2x + 14

*MUST PROVE w/ COMPOSITES

YES. f(g(x)) = x = g(f(x))

500

Find the Inverse Function:

y=x²-8x+2  ; x less than or equal to 4

y = negative sqrt (x+14) + 4 

(Negative Only)

Exponential Logs

100

Simplify: log 10000

4

200

Condense into a SINGLE log.

2logx - 1/2log 9

log (x²/3)

300

Expand.

log₃(a⁴b⁵c⁶)^1/2

2log₃a + 5/2log₃b + 3log₃c

400

Solve.

ln(2x-1) + ln(x+3) = ln(x²+x-7)

No Solution

500

Solve.

log₄(3x-2) - log₄(4x+1) = 2

-18/61