SOLUTION: f(x)=x^3+6x^2-25x+18 Find all the zeros of the given polynomial. can anyone help me solve this, I am new to this type of question. Jessica

Question 150029: f(x)=x^3+6x^2-25x+18
Find all the zeros of the given polynomial.
can anyone help me solve this, I am new to this type of question.
Jessica
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
A zero is where the function touches the x axis or in other words f(x)=0.
Usually I first graph it to see what's what using EXCEL or graph paper.

As you can see it looks like 3 real zeros at x=1, x=2, and x=-9.
Plug the values into the equation to verify.
x=1

That's a good one.
x=2

That's a good one too.
x=-9

That's a good one too.
You have found all three roots.
You could then represent the function as,
f(x)=(x-1)(x-2)(x+9)
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