Quadratics

Connections

 

Since this was a lengthy unit, I have included some key connections between concepts that we learned, that are worthy of being kept in mind.

 

1. Simple Trinomial Factoring and Complex Trinomial Factoring

 

• Both have the exact same equation format (layout). However, the only difference is the value of the co-efficients. In simple trinomial factoring, the co-efficient is 1. However, in complex trinomial factoring, the co-efficient must be greater than 1.

• Both these factoring methods use a t-chart to solve for the factors of the equations. 

 

2. Zeroes, Roots, and x-intercepts 

 

• ​All these terms mean the same thing. They all refer to the x-intercepts on a graph, which is the point/s on the x-axis when the y-value is equal to 0. 

 

3. Zeroes and Discriminant

 

• When you are trying to solve for the zeroes (x-intercepts), the discriminant tells you the number of x-intercepts an equation has. 

 

4. Factoring and Graphing

 

• If you want to graph a quadratic equation, factoring is extremely important because it helps you find all the key values that need to plotted on a grid to create a graph. For example, through factoring, we can find the x-interceps, axis of symmetry (A.O.S), and the optimal value.