| A | B |
|---|
| rational number | the quotient of two integers where the denominator is not equal to 0 |
| rational expression | quotient of two polynomials where the denominator cannot be 0 |
| LCD | lowest denominator both fractions can go into |
| vertical asymptote | graph approaches this vertical line from both directions, but does not ever touch the line |
| rational equation | when two rationals are set equal to each other |
| standard form | writing a polynomial in decreasing powers of the exponent |
| degree | the highest exponent in the function |
| leading coefficient | the constant of the first term |
| Remainder Theorem | states that if the polynomial function P(x) is being divided by a binomial in the form x – r, then the remainder is P(r) |
| Factor Theorem | states that x-r is a factor of the polynomial P(x), when P(r)=0. |
| Fundamental Theorem of Algebra | A polynomial of degree n has at most n distinct zeros. |
| Conjugate Zeros Theorem | if a+ bi is a zero of P(x) , then a - bi (the conjugate) is also a zero of P(x) |
| Rational Zeros Theorem | if a polynomial function has rational zeros, they will be of the form p/q |
| Descartes' Rule of Signs | Look for alternating signs to determine how many positive, negative, and complex roots |
| odd function | symmetric to the origin |
| even function | symmetrix to the y-axis |
| Intermediate Value Theorem | if for real numbers a and b , P(a) and P(b) are opposite in sign, then there exists at least one real zero between a and b. |
| Boundness Theorem | finding the upper and lower bounds of a function |
