Factoring
Exponents
Polynomials
Radicals
Quadratic Equations
100

Factor:x^2-4x-45

(x-9)(x+5) 

100

Simplify (3^9)^2(3^(-8))^2 


3^2 = 9 

100

Multiply: (6s-3)(s+4)

6s^2+6s-12

100

Solve the radical expression x = sqrt(3x+10) 

x=5 

100

Solve for the value of x. (x – 6) (8x+3) =0

x = 6 and -3/8

200

Factor using GCF: 12x^2-8x

4x(3x-2)

200

Solve and describe the property being used:(a^(-3))^2

1/(a^6)

200

Subtract the rational expression and simplify if possible

((10x+4)/(x-2)) - ((6x+12)/(x-2))

(6x - 8) / (x-2)

200

Solve by finding square root: (4x^2-36) = 0 

x =3 and -3 

(2x+6)(2x-6) 

200

Graph the function and find the zero pairs

 f(x) = x^2 - 3x + 2 

Show in Desmos 

zeros (1 and 2) 

300

Factor: 2x^2-8x+6

(x-3)(x-1) 

300

Use the quotient rule: (x^10y^6)/(x^4y^6)

x^6

300

Multiple the two expressions leave in factor form. 

(What are the excluded values (vertical asymptote)? 

(x/(x-16)) ((x-3)/(x-2)

(x(x-3)) / ((x-16)(x-2)) 

Vertical Asymptotes x = 3 and 2  

300

Simplify the radical  7Radical(5) - radical(20)

3Radical(5) 

300

Graph the Function  and find the min. 

2/5(x^2) 


Show in desmos 

Min = 0,0

400

Factor: 6x^2+16x-6

(x-2)(x+18)

400

Simplify: (4^-1)/3 


1/12

400

Subtract: (10x2-3x-2)-(3x2+7)

7x2-3x-9

400

Solve the radical expression √4a+20 = 12 

a =31 

400

Find the zero pairs f(x) = x^2 - 20 - 44 

Zero pairs (22 and -2) 

500

Factor: 16x^2-72x+81

(4x-9)^2

500

Simplify (y^(2/3)z^6)^3

y^2z^18 

500

Multiply: ((x-16)/(x))((x-2)/(x-3))

(x-16)(x-2)/(x)(x-3) 

500

Simplify the rational expression and find the vertical asymptote 

(x^2-6x-16) / (x^2-34x-72) 

Vertical Asymptote x=36

500

Find zero Pairs 

f(x)=4x^2 -20x+25

x = 2.5 

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