​Over the next few slides, you will review how to factor a quadratic equation from standard form to factored form. In addition, you will learn how to take vertex form and convert it to standard form. Furthermore, you will review how to multiply a polynomials together using the array method. Lastly, you will review how to find the solutions to the quadratic equation. Let's review...

​Standard Form

​Factored Form

​Vertex Form

​Notice, all three function create the same parabola.

Red=Factored= Reveals zeros. {-3, 5}

Blue=Standard= Reveals y-intercept (0, -15)

Green=Vertex= Reveals the vertex. (1, -16)

​Quadratic Function Factoring and Solving Examples:

​Solutions:

​Standard Form

Factored Form

​The solution set of x=-9 and x=9 is written as:

​Solutions, x-intercepts, zeros and roots all mean the same thing. They are where the parabola crosses the x-axis.

​Example Problem: Quadratics Factoring and Solving

​What are the solutions to the following quadratic equations?

​Example problem: Factoring Quadratics with a leading coefficient greater than 1.

​Array Method

​First

​Outside

Inside

Last

​Factors

​How to multiply a binomial to a trinomial using the array method.

​Multiplying Polynomial Expressions

​What is the product of:

Combine like terms:

​Quadratic Functions: Changing from Vertex Form to Standard Form.

​Vertex Form

​Standard Form

​How to convert vertex form to standard form.

​Final Answer