A comparison of graphical solution and factoring derived solution

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...)

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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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