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

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