SOLUTION: use the cubic function f(x)=x^3+x^2-3x+1 to complete the remaining problems 1) what are the possible roots of this function 2)test your possibilities synthetically to d

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Question 465261: use the cubic function f(x)=x^3+x^2-3x+1 to complete the remaining problems 1) what are the possible roots of this function 2)test your possibilities synthetically to determine which one(s) is(are) valid
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
use the cubic function f(x)=x^3+x^2-3x+1 to complete the remaining problems
---------------------
1) what are the possible roots of this function
Possible roots: +1 and -1
---------------------------
2)test your possibilities synthetically to determine which one(s) is(are) valid
-----
1)....1....1....-3....1
.......1....2....-1...|..0
Quotient: x^2+2x-1
Remainder: 0
----
The root is x = 1.
---
Note: Notice that the coefficients of the cubic add
up to zero. That tells you x = 1 is a root.
====================================================
Cheers,
Stan H.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

 f(x)=x^3+x^2-3x+1 | x = 1 is a root, 1+1-3+1 = 0

 = x^2+2x-1 = (x+1)^2-2 , x = 

-2.414,.414,1 possible roots



 

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