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continuous (can be drawn without lifting pencil)
Look at HA
The number of times the related linear factor is repeated in the factored form of the polynomial.
sum of cubes
An expression of the form a^3 +b^3. It can be factored as (a + b) (a^2 - ab + b^2).
differences of cubes
(a^3-b^3) = (a^2 + ab + b^2)
Rational Root Theorem
lists all possible rational roots (p/q)
A polynomial f(x) has a factor (x-c) if and only if f(x) = 0
Value of a function or a graph that is greater than all nearby points
A value of a function or a graph that is less than all nearby points
Max and min collectively
up and up
When a is positive and even?
down and down
When a is negative and even?
down and up
When a is positive and odd?
up and down
When a is negative and odd?
Maximum number of zeros?
value of first exponent
Maximum number of turns?
value of first exponent minus one
An integer n is defined to be even if n=2k for some integer k.
An integer n is defined to be odd if n=2k+1 for some integer k.
f(x)/d(x)=q(x)+r(x)/d(x) or f(x)=d(x)q(x)+r(x)
If a polynomial f(x) is divided by (x-c), the remainder is f(c)