Exam Prep math

compound fraction

A fraction whose numerator or denominator (or both) is also a fraction.

radical function

a function defined by a radical expression

composite function

a function that takes the output of one function and uses it as the input of another function

synthetic division

a method used to divide a polynomial by a linear factor whos leading coefficient is 1

extraneous solution

an apparent solution that must be rejected because it does not satisfy the original equation

Inverse Variation

an equation of the form y = k/x

rational function

any function r(x)= p(x)/Q(x) where p(x) and Q(x) are polynomials and Q(x)=/ 0

function

can be represented by the equation y= 1/x

Multiplicity of a Zero

determines where the graph of the function will cross the x-axis at the point or merely touch it

index

in the expression 1 √(5) 1 is the

Binomial Theorem

is a formula that can be used to expand powers of binomial expressions

asomtope

is a line that a graph approaches but may not be touched

Solution

is a potiental solution that must be rejected because it does not satisify the original equation

degree of a polynomial

is the greatest power of the variable in a polynomial expression

leading coefficient

is the non zero constant multiplied by the greatest power of the variable in a polynomial expression

nth root

of a number c is x such that Xn=c

like radicals

radical expressions with the same index and radicand

in the expression 1 √(5) 5 is the

radican

end behavior

the behavior of the graph of a function as x approaches positive infinity or negative infinity

rational expression

the quotient of two polynomials

Pascal's Triangle

the triangular pattern of numbers where each number is the sum of two numbers above it

Reduced Radical Form

when all nth roots of perfect nth powers have been simplifed and no radicals remain in the denominator an expression is an