SOLUTION: I dont understand polynomials, please help. f(x) = x^3 + 6x^2 - 25x + 18 Can you please help me list the *potential real rational zeroes *find the rational zeroes and other z

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I dont understand polynomials, please help. f(x) = x^3 + 6x^2 - 25x + 18 Can you please help me list the *potential real rational zeroes *find the rational zeroes and other z      Log On


   



Question 804397: I dont understand polynomials, please help.
f(x) = x^3 + 6x^2 - 25x + 18
Can you please help me list the
*potential real rational zeroes
*find the rational zeroes and other zeroes
*factor f(x) into linear factors

Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
for this equation you want to first start out with synthetic division. I am going to assume you know what synthetic division is.
I am going to start with 1
1 6 -25 18
0 1 7 -18
1 7 -18 R=0
1 is a zero of the equation (x-1).
you are left with x%5E2%2B7x-18
You need to factor it.
(x+9)(x-2)
so now you have all the zeros
f(x)=(x-1)(x+9)(x-2)
1, -9, 2