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
x^{2} + 5x + 6 = 0
by both graphical and factorizing method.
Solution: Factoring method: x^{2} + 5x + 6 = 0
=> (x  2)(x  3) = 0
=> x = 2, 3 (More text below video...)
(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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