7. algebraic methods Flashcards
1
Q
polynomial def
A
finite expression with positive whole number indices
2
Q
methods of proof
A
exhaustion
counter example
3
Q
proved by exhaustion means
A
breaking the statement into smaller cases and proving each case separately
4
Q
counter example means
A
one example that does not work for the statement
5
Q
ways to divide polynomial
A
divide first term by x
multiply by the divided term
subtract the answer
take down second term
6
Q
factor theorem states
A
if its a factor of f(x)
then it = 0
7
Q
if f(p) = 0 then
A
(x-p) is a factor of f(x)
