The root of the polynomial equation x (x-2) (x + 3) = 18 is x = 3.
Concept: An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Given:
x (x-2) (x + 3) = 18
Divide both sides of the equation by x:
x (x-2) (x + 3) / x = 18 / x
(x-2) (x) + 3) = 18 / x
You can use the following simultaneous equations.
(1) y = (x-2) (x + 3)
(2) y = 18 / x
Using a graphing calculator, we get:
x = 3, y = 6 → point = (x, y) = (3,6)
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