SOLUTION: The problem is= Determine all zeros for each polynomial function. P(X)= x3-4x2+x All I had was below x2(X-4)(x+1) one answer which is 0, but then I determined my factorin

Question 106019: The problem is= Determine all zeros for each polynomial function.
P(X)= x3-4x2+x
All I had was below
x2(X-4)(x+1)
one answer which is 0, but then I determined my factoring was incorrect and I feel like the problem is missing something, should it have a zero on the end?
Please help.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

= *( � + ) this product will be equal to
if or ( � + ) is equal to
So,
One zero will be for
To find other two zeros, we need to solve
� + ,
and find out for what value of is equal to
� + =

We can use square root formula:

eliminate in both nominator and denominator

Use same way to find

the real zeros are: , ,

since , we can write
= second zero
- = = third zero
so, the real zeros are: , ,

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