18/2/2013 Summery of the lesson


18/2/2013

Revision:

A-Math Question types: 
1.“Polynomial and identities”
2.“Factor and remainder theorm” and “Division of Polynomials”
3.Cubic equation and solving cubic equation.
4.Partial Fraction
5. Combinations of the topics.


E-math question types:
*refer to the post about the tested topics.

*Find the equation

  1. Quadratic
    1. 2 real and different roots
      1.   x = -4 or x = 2
      2. (x=4)(x-2) = 0
        1. y = A(x+4)(x-2)
        2. in y-intercept = -3, x = 0
          1. -3 = A(0+4)(0-2)
            1. -3 = -8A
              1. A = 3/8
              2. Therefore, y = 3/8 (x+4)(x-2)

Drawing Graph

Given : Scale, Table

  • Draw graph using pencil
  • Label the graph
  • Values in ink
  • if exceeds the range given, (e.g. -3< x <6) marks will be penalized 
  • Plotting x  ------ (2-3marks)
  • if x = ____, find y / y = _____, find x ------- (2marks)
  • Line of symmetry - (1mark), Equation of line of symmetry - (1mark)
  • Tangent at x=1 

y= x^2 +x -2
hence, solve x^2 +x = 7.
x^2 +x-2 = 5
y = 5

y = x^2 =x -2  ----- (1)
y=5 ------ (2)
x^2+x-2=5
x^2 +x = 7


YOU WILL LOVE IT OR YOU WILL LOVE IT TO HATE IT

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