85595
Description
Mind Map by WhisperedWishes, updated more than 1 year ago
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Created by WhisperedWishes
over 11 years ago
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Polynomials
- The factor theorem:
- If (x-a) is a factor of f(x) then
f(a)=0 and x=a is a root of f(x)=0.
- 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).
- 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)
- y=f(x-t)
- 0
s
- y=f(x)+s
- y=f(x)+s
- t
s
- y=f(x-t)+s
- y=f(x-t)+s
- t
0
- Binomial coefficients
can be found using
Pascal's triangle.
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