SOLUTION: Hello i would like to ask a question about the fundamental theorem of Algebra
my homework states to find a polynomial equation having the given roots.
if i have the
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Question 63123: Hello i would like to ask a question about the fundamental theorem of Algebra
my homework states to find a polynomial equation having the given roots.
if i have the roots 3,-1,2
how do i get to the equation?
any help would be great. Thanks!
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
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)
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