Vocabulary
The quotient of two polynomials
What is a rational expression?
1/x
What is
xne0?
x and 2x+1
What is
x(2x+1)?
(2x)/(x+1)+2/(x+1)
What is 2?
15/(x+3)=3
What is 2?
A fraction that has one or more fractions in the numerator and/or the denominator
What is a complex fraction?
x/(x+5)
What is
xne-5?
x+3 and x^2-4x-21
What is
(x+3)(x-7)?
(x+3)/(x+2)*(x^2+4x+4)/(x^2-9)
What is
(x+2)/(x-3)?
x/(x-3)-4=3/(x-3)
What is no solution?
A line that a graph approaches infinitely but never reaches
What is an asymptote?
(x-3)/(x^2-3x)
What is
xne0,3?
60x and 36x^2
What is
180x^2?
(x+4)/(x^2+5x+6)div(x^2+4x)/(4x+8)
What is
4/(x(x+3))?
The number of hours it would take Zendaya and Tom to clean the windows together if it would take Zendaya 3 hours and Tom 6 hours working by themselves?
What is 2 hours?
A solution that arises from the method of solving but is not a solution of the original equation.
What is an extraneous solution?
(x^2+6x)/(x^2+x-30)
What is
xne-6,5?
x^2-1 and x^2-3x+2
What is
(x+1)(x-1)(x-2)?
(2x)/(x^2-4)-1/(x-2)
What is
1/(x+2)?
x/(x+4)=32/(x^2-16)+5
What is
x=3?
In a rational function, any value of x that causes the denominator to be zero
What is a point of discontinuity?
(x^2+2x-15)/(2x^2+9x-5)
What is
xne-5,1/2?
x^2-9x and x^2-3x-54
What is
x(x+6)(x-9)?
(1-1/x^2)/(1-1/x)
What is
(x+1)/x?
The number of minutes it would take Taylor to paint the fence by herself if it would take Travis 90 minutes, and it would take them 50 minutes working together.
What is 112.5 minutes?