1. f(x) = a(x + b)2 + c 1 4 5 2 -2 -4 2 1 e.g. use coefficients to -2 -4 2 1
e.g.
use coefficients to
factorise further
if possible !!
Factor Theorem
2x2 - 8x + 9
(x+2) is a factor
since no remainder
Remember to
answer question
f(x) = ( ) ( ) ( )
2x2 - 8x
Completing
the square
2(x2 - 4x)
Factorising
cubic's polynomials
2(x - 2)
- 8
Quadratic Theory questions
(Circle, Function Graphs)
f(x) = 2(x - 2)
simultaneous
equations
Sketch
See Function
& Graphs
Harder
Finding
coefficients
Discriminant
b2 – 4ac
3 scenarios
Steps
Identify a , b and c.
Discriminant = 0
and factorise.
Sketch and identify
solution based on
question asked.
Harder
discriminant
> 0
= 0 tangent !!!
< 0
(1 - 2k)x2 - 5kx - 2k > 0