Question 63123
Roots are when the graphed line crosses the x-axis as to say....
Example:
(x - 4)(x + 9)(x - 3) = f(x)
When f(x) = 0, you have defined roots for the x-terms....
x = 4 because (x - 4) = (4 - 4) = 0 = f(x)
x = -9
x = 3
Are all roots....
Now ~>
if i have the roots 3,-1,2
(x - 3)(x + 1)(x - 2) = f(x)
(x^2 - 2x - 3)(x - 2) = f(x)
x^3 - 2x^2 - 3x - 2x^2 + 4x + 6 = f(x)
x^3 - 4x^2 + x + 6 = f(x)
{{{graph(300,300,-5,5,-10,10,x^3 - 4x^2 + x + 6)}}}