Question 280442: list the potential rational zeros of the polynomial function, do not find the zeros.
f(x)=x^5-5x^2+4x+3
Answer by jsmallt9(3758)   (Show Source):
You can put this solution on YOUR website! The possible rational roots/zeros of a polynomial are all the possible combinations, positive and negative, of factors of the constant term (at the end) over the factors of the leading coefficient.
You constant term is 3 which has factors of 1 and 3 and your leading coefficient (in front of the x^5) is 1. So your possible rational roots/zeros are:
3/1, -3/1, 1/1 and -1/1
which simply to
3, -3, 1 and -1
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