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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.
^6 x^12y^15

^6 x^6*x^6*y^6*y^6*y^3

x^2 * y^2 * ^6       Simplified



_

_ 5^2* r^2 * r^2 * r * t^2 * t^2

5* r^2 * t^2 * u

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Class notes precalc

  • 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.
  • 2. ^6 x^12y^15 ^6 x^6*x^6*y^6*y^6*y^3 x^2 * y^2 * ^6 Simplified _ _ 5^2* r^2 * r^2 * r * t^2 * t^2 5* r^2 * t^2 * u