Introduction Flashcards
Variable
Placeholder
Natural
All positive whole numbers
Integer
All whole numbers
Represented with Z
Rational
m/n (fractions)
with m and n being integer and n not being 0.
Represented with Q
Real
Distance between points of a number line (all possible REAL numbers).
Represented with R
Adding + or - or nonneg to number representations
R+ denotes all real numbers that are positive, R- means all that are negative, Rnonneg means no negatives.
a/b + c/d
ad/bd + bc/bd = ad+bc/bd
a/b * c/d
ac/bd
a/b * c/d
ad/bc
a^b*a^c
a^b+c
(a^b)^c
a^b*c
Factorisation (AC Method)
x^2 + 3x + 2
a = 1
b = 3
c = 2
ac = 21 = 2
Find factors of 2 which can be added to make 3
If a*c was 28, and b was 16, it would be 14 and 2
In this case:
2 + 1 = 3
2 * 1 = 2
So (x + 1)(x+2)