1.1 If (x-a) is a factor of f(x) then
f(a)=0 and x=a is a root of f(x)=0.
2 The remainder theorem:
2.1 f(a) is the remainder when
f(x) is divided by (x-a).
3 The curve of a
polynomial function of
order n has up to (n-1)
turning points.
4 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.
5 The vertex and line
of symmetry of a
quadratic may be
found by competing
the square.
6 Translations of the graph
of the function y=f(x):
6.1 t
0
6.1.1 y=f(x-t)
6.2 0
s
6.2.1 y=f(x)+s
6.3 t
s
6.3.1 y=f(x-t)+s
7 Binomial coefficients
can be found using
Pascal's triangle.