Algebra I: A comparison of graphical solution and factoring derived solution
This is a free lesson from our course in Algebra I
 
   
In this lesson, you'll learn how to determine the roots of an equation by the graphical method and by the factorization method. To find the roots of a given quadratic equation by graphical method, we plug in some values in for x, calculate the values of y, and draw a graph through the ordered pairs of x and y. In case of the factorization method, we factor the quadratic equation to find the roots of the equation.For example, determine the roots of the equation x2 + 5x + 6 = 0 by both graphical and factorizing method.
Solution: Factoring method:
x2 + 5x + 6 = 0
=> (x - 2)(x - 3) = 0
=> x = 2, 3 (More text below video...)
<h2> A comparison of graphical solution and factoring derived solution - Watch video (Algebra I)</h2> <p> intercept, graphical, solution, roots, graph, factoring, graphing, quadratic equation, derived, solution, practice questions</p> <p> To find the roots of a given quadratic equation by graphical method, we plug in some values in for x, calculate the values of y, and draw a graph through the ordered pairs of x and y.</p>
Other useful lessons:
Determine number of solutions of a quadratic from its equation
(Continued from above) Graphical method:
By putting the values of x we'll get corresponding values of y, as shown in table below. By plotting those points we'll get the following graph.
x y
0 6
1 2
2 0
3 0
4 2
5 6
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