Lesson Summary 7/2/13 Shaun Ng

Level Test

Elementary math

Duration: 45 mins

30 marks

Topics: 

1. Algebraic manipulation 

• Factorisation
• Expansion

1. Algebraic Fraction       

3  Indices (no surds + logs) (quiz c)

1. Quadratic Function/graph plotting  (U shaped and n shaped)

Additional math

Duration: 45 mins

30 marks

Topics:

1. Polynomials
2. Remainder Factor Theorem
3. Cubic expression/equation
4. Partial fraction

(All Jumbled up)

(Start doing Exam Prep Questions)

Question for fun

Given that the roots of a quadratic function is -3 and 1. Find the function if x=-3 (x+3)=0

1. Case 1 

      the coefficient of x^2 is 2     (3)

1. Case 2

      y intercept is -6.              (3) 

Sketch the above function(s), showing clearly the x and y intercepts, and the turning point. State also the nature of turning point. (2)

y = f(x) = ax^2+bx+c

   = A(x+d)(x+e)

   = A(x_3)(x-1)

   = A(x^2+2x-3)

   =Ax^2+2Ax-3A

1. f(x) = 2(x+3)(x-1)

            = 2x^2+4x+6

1. f(x) = A(x+3)(x-6)

    x=0, f(0) = A(3)(-1) = -6

    A = 2

Hence, f(x) = 2(x+3)(x-1)

= 2x^2+4x-6

Nature of turning point = Minimum tp

Turning point = Two x intercepts added/2

Sub x value into answer for a.]]]