Standard+2.3a-pd

Standard 2.3a: Solve quadratic equations by graphing, factoring, compleating the square, and quadratic formula.
IN quadratics we are lookin for the X and Y intercepys. In these when we find the answer(s) to X we find where the line crosses the X axis on a graph.

Example Problems for Standard 1.1aBelow are two example problems. They range from easy to difficult.
 * Problem 1-Easy**
 * [[image:Picture_1.jpg width="163" height="155"]]

How many real roots does the function given by this graph have?** Roots always refer to where the line crosses the X axis.

Since the line does not cross the X axis this function has no real roots.


 * Problem 1 - Difficult**

D //x// 2 + 2//x// + 3 = 0
To find the solutions to this problem you must first factor out each answer choice.

A (x+1)(x-3) B (x 1)(x 3) C (x-1)(x+3) D (x 1)(x 3)

Answers B and D are not compleatly factored because it is not posible to factor these out correctly. Once you have factored, everything becomes the opposite.

The answers now for A would be (-1, 3) instead of (1, -3) The answer for C would be (1, -3) instead of (-1, 3)

Now looking we can see that the answer is A

Podcast for Standard 2.3a
Below is a tutorial on understanding two-step equations and how to solve the problems.