SOLUTION: Find all of the real zeros of the polynomial function f(t)= t^3 –4t^2 +4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all of the real zeros of the polynomial function f(t)= t^3 –4t^2 +4       Log On


   

Question 367626: Find all of the real zeros of the polynomial function
f(t)= t^3 –4t^2 +4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C0%2Cx%5E3-4x%5E2%2B4%29
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I used Newton's method in an EXCEL spreadsheet to find the roots with starting values of t=1,t=4, and t=-1 to get
f=t%5E3-4t%5E2%2B4
df%2Fdt=3t%5E2-8t
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t=1.193937
t=3.709275
t=-0.90321