Rational Expressions Review

Excluded Values

100

What is the excluded value(s)? 

5/x

x!=0

200

What is the excluded value(s)?

1/(x+3)

x!=-3

300

What is the excluded value(s)?

7/(5x-10)

x!=2

400

What are the excluded value(s)? 

(x^2-x-6)/(x^2+8x+12)

x!=-6, -2

500

What are the excluded value(s)?

(12a)/(8a^3+3a^2-32x-12)

x!=+-2, -3/8

Simplify Rational Expressions

100

Simplify the expression

(16c^2b^4)/(8c^3b)

(2b^3)/(c)

c!=0

b!=0

200

Simplify the rational expression

(n+3)/(n^2+10n+21)

x=1/(n+7)

x!=-7, -3

300

Simplify the rational expression

(x^2-2x-35)/(x^2-9x+14)

(x+5)/(x-2)

x!=2, 7

400

Simplify the rational expression

(3y^2-39y+90)/(y^2-3y-70)

(3(y-3))/(y+7)

y!=-7, 10

500

Simplify the rational expression

(9x^2+81x)/(x^3+8x^2-9x)

9/(x-1)

x!=0, -9, 1

Multiply Rational Expressions

100

Multiply the rational expressions and simplify 

(2x^3)/(7x) xx 14/x

4x

x!=0

200

(10n^2)/4 xx 2/n

5n

n!=0

300

(12b^3)/(21b) xx (14b^2)/(6b)

(4b^3)/3

b!=0

400

(n^2+n-2)/(n+2) xx (4n)/(n-1)

4n

x!=-2, 1

500

(7)/(-b^2-5b-4) * (b^2+8b+7)/(b+7)

-7/(b+4)

x!=-7, -4, -1

Divide Rational Expressions

100

(x^5)/y div x/y^2

x^4y

x!=0

y!=0

200

(f^4g^2h)/(x^2y) div f^3g

(fgh)/(x^2y)

x,y,f,g!=0

300

(21b^3)/(4c^2) div (7)/(6c^2)

(9b^3)/2

c!=0

400

(m-3)/(15m+5) div (25m^3-5m^2)/(15m^2+2m-1)

(m-3)/(25m^2)

m!=-1/3, 1/5, 0

500

((2x+3)/(3x))/((x^2)/(6x+9))

((2x+3)^2)/(x^3)

x!=0, -3/2

Dividing Polynomials

100

(18b^4+9b^3+5b^2) div 9b

(2b^3+b^2+(5b)/9)

b!=0

200

(3n^5+7n^4+72n^6) div 12n^3

6n^3+(n^2)/4+(7n)/12

n!=0

300

(3r^3+r^2-3r+14) div (r+2)

3r^2-5r+7

r!=-2

400

(7n^3+65n^2+79n+52) div (n+8)

(7n^2+9n+7-4/(n+8)

n!=-8

500

(4x^3+3x-8) div (2x+2)

2x^2-2x+3+ (x-14)/(2x+2)

x!=-1