1. Class Notes: 29-8-2012
Pre-Calculus Group A
Contributed by Jose Antonio Weymann
Simplify:
(6+5i) + (-3+2i) Add like terms.
(3+7i)
(-3+3i)(-2+2i) Foil multiply.
6-6i-6i+6i^2 Add like terms.
-12i
(3+i) (5+2i) 15+6i+5i+2i^2 13+11i 13 11i
(5-2i) (5+2i) 25+10i-10i-4i^2 29 29 29
Determine if Function has a maximum or minimum, find the value, then
determine the domain and range. f(x) = a^2+b+c
f(x) = x^2-5x+4 Because the a (x) is positive this function has a minimum
value.
For a parabola with and equation y= ax^2+bx+c
The y-coordinate of the vertex, h is given by h= -b/2a
Minimum: -2.25 Domain: (3,-3) Range: [oo, -3)
Solve each equation. By factoring or Quadratic Equation
x^2-x-20 = 0 We can solve this function by factoring.
(x-5) (x+4) The product of c is the sum of b.
x = 5 x = -4 Zero Product Property
Simplify each expression.