SOLUTION: f(x) = x^3 - 12x^2 + 36x - 32; 8 Given a polynomial function and a zero, find the other zeros. How do I go about doing this??

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: f(x) = x^3 - 12x^2 + 36x - 32; 8 Given a polynomial function and a zero, find the other zeros. How do I go about doing this??      Log On


   

Question 712912: f(x) = x^3 - 12x^2 + 36x - 32; 8
Given a polynomial function and a zero, find the other zeros.
How do I go about doing this??
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = x^3 - 12x^2 + 36x - 32; 8
Given a polynomial function and a zero, find the other zeros.
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Use synthetic division with the given root:
8)....1....-12....36....-32
......1.....-4....4...|..0
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Find the zeroes of the quadratic dividend:
Solve x^2 -4x + 4 = 0
(x-2)^2= 0
Roots are 2, and 2
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All the Roots are 8,2,2
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Cheers,
Stan H.
Roots