432 Test 2 Review

Polynomial Operations

100

(8a^5-4)+(3a^5+a-2)

11a^5+a-6

200

(-9x^3y)(-8x^2y^3)

72x^5y^4

300

(5x^3+5x^2+5)-(6x^3-6x^2+8x-5)

-x^3+17x^2-8x+10

400

(5x+4y)(2x+5y)

10x^2+33xy+20y^2

500

(x-2)(x^2-x+3)

x^3-3x^2+5x-6

Factoring

100

x^2-121

(x-11)(x+11)

200

x^2+10x+24

(x+4)(x+6)

300

10xy^2+5x^2y-15x^3y^3

5xy(2y+x-3x^2y^2)

400

3x^2y+12x^2-3y-12

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

500

8x^3-343

(2x-7)(4x^2+14x+49)

Solving Quadratic Equations

100

x^2+6x+8=0

{-4,-2}

200

x^2+6x=12

{-6,2}

300

3x^2-2x=0

{0,2/3}

400

3x^2-11x-4=0

{1/3,4}

500

(t+5)^2=48

t= -5 +- 4sqrt3

Simplifying Rational Expressions

100

(120x^3y)/(25xy^5)

(25x^2)/(5y^4)

200

(5a-b)/(b-5a)

-1

300

(6x^2-19x+3)/(4x^2-36

(6x-1)/(4(x+3))

400

(6x^2-19x+3)/(4x^2-36) div (x-5)/(x^2-2x)

((x)(6x-1)(x-2))/(4(x-5)(x+3)

500

(2x^2-x-15)/(x^2-2x-3) times (1-x^2)/(2x^2+3x-5)

-1

Mixed/Old Stuff

100

Find the excluded values of: 

(6a)/(3(a+5))times (4(a+5))/(2a)

excluded values: -5, 0

200

Solve the following compound inequality. Write the solution in interval notation. 

-1<=2x+6<9

[-7/2,3/2)

300

2abs(3x-1)-1=7

{5/3,-1}

400

abs(5x-12)-4>=20

(-infinity, -12/5] U [36/5, infinity)

500

abs(-2x-3)+2<7

(-4,1)