Algebra I – Quadratics

Quadratic equations: Learning how to solve equations is very important subject in algebra. 
Graphing a parabola: Plot points to draw your very first parabola
Graphing quadratics: Every quadratic graph boil down to these 3 numbers
Factoring quadratics: An extremely useful trick for solving some equations
The quadratic formula: A method for solving ANY quadratic equation!
Discriminants and roots: A quick way to tell how many solutions a quadratic has


In this lesson, we will learn how to solve quadratics equations with 2 degrees that can be written in the standard form 〖ax〗^2+bx+c=0 where a,b, and c are real numbers and a≠0. A solution of a quadratic equation in standard form is called a root that can have two real solutions, one real solution, or no real solution.

To solve a quadratic equation, we need to write it in standard form, when the quadratic expression equal to zero, then factor it and set each variable factor equal to zero. 
To solve a quadratic equation with given solutions we have to perform the process of finding by factoring in reverse.
Quadratic equations: Solving equations in form of 〖ax〗^2  + c = 0 by extracting the roots and sometimes, equations can have two solutions.
To solve a quadratic equation with given solutions we have to perform the process of finding by factoring in reverse. 
A quadratic with a negative discriminant has zero root.
A quadratic with a discriminant of zero has one root.
A quadratic with a positive discriminant has two roots.

Algebra I – Quadratics - Quadratic equations | Graphing a parabola: 


Algebra I – Quadratics - Graphing quadratics | Factoring quadratics: 


Algebra I – Quadratics - The quadratic formula | Discriminants and roots: 



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