2.  Factoring (3)  Solving Quadratics (3)  Imaginary Numbers (2)  Extraneous Solutions (1) Functions:  Finding Zeroes (2)  Finding Minimum via TI 84+  Add/Subt/Mult/Div functions: f(x) and g(x)  Simplifying Expressions w/ Exponents (4)  Solving Equations w/Radicals - Irrational Expressions (2)  Solving Given the value of independent variable

3. Significance of Signs within a Quadratic Factoring  44-22x  13y 2 + 26y  x 2 -8x-33  x 2 +13x-14 Solving Quadratics  x 2 -2x-35 = 0  x 3 -4x 2 +3x = 0  3 x 2 +27x+60 = 0

4. Extraneous Solutions - When do they occur? :   Imaginary #s: Divide Exponent by 4 and look at Remainder i 1 = √–1 i 2 = – 1 i 3 = – 1 √–1 i 4 = + 1 Simplify Expressions with Exponents For example: i 6 = – 1

5. Imaginary #s: Divide Exponent by 4 and look at Remainder i 1 = √–1 i 2 = – 1 i 3 = – 1 √–1 i 4 = i 0 = + 1 Simplify Expressions with Exponents i 2 i 22 i 300 ( √–15 ) ( √–1 )

6.  f(x) = 2x-32  f(x) = x 2 +7x-8 --------------------------------  f(x) = x 2 +7x-8  f(x)= x 2 +9x+20 --------------------------------  Composition  f(x) = –2x 2 +3, g(x)= 3, h(x)=x-4  What is f(g(x)) = ??  What is f(h(x)) = ?? Step 1: Set f(x) = zer0 Step 2: Solve for x Step 1: Set f(x) = zer0 Step 2: use TI84+:, enter equation,, Step 3: position cursor at lowest y value Step 4: write down both coordinates, x and y

7.  Simplifying Expressions w/ Exponents x 2 * x 5  Solving Equations w/Radicals - Irrational Expressions Step 1: Isolate the radical to one side of equation Step 2: Square both sides Step 3: Simplify and solve