If (x-a) is a factor of f(x) then
f(a)=0 and x=a is a root of f(x)=0.
The remainder theorem:
f(a) is the remainder when
f(x) is divided by (x-a).
The curve of a
polynomial function of
order n has up to (n-1)
turning points.
The behaviour of the curve of
a polynomial of order n, for
large positive and negative
values of n, depends on
whether n is even or odd, and
whether the coefficient of the
term xᶯ is positive or negative.
The vertex and line
of symmetry of a
quadratic may be
found by competing
the square.
Translations of the graph
of the function y=f(x):
t
0
y=f(x-t)
0
s
y=f(x)+s
t
s
y=f(x-t)+s
Binomial coefficients
can be found using
Pascal's triangle.