SOLUTION: Find all roots of the polynomial x^3-x^2+16x-16. Thanks Very Much.

Question 44535This question is from textbook
: Find all roots of the polynomial x^3-x^2+16x-16.
Thanks Very Much. This question is from textbook

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Find all roots of the polynomial
F(X)= x^3-x^2+16x-16.
F(1)=1-1+16-16=0
HENCE X-1 IS A FACTOR.DIVIDING..WITH X-1
1...|..1.....-1......16......-16
....|..0......1.......0.......16
------------------------------------
.......1......0.......16.......0
X^2-16 IS THE QUOTIENT
=(X+4)(X-4)
HENCE
F(X)=(X-1)(X+4)(X-4)
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