SOLUTION: What is the minimum number of real root(s) a polynomial of degree 3 can have? A. 0 B. 1 C. 2 D. 3 E. 4

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Question 287218: What is the minimum number of real root(s) a polynomial of degree 3 can have?
A. 0 B. 1 C. 2 D. 3 E. 4

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
What is the minimum number of real root(s) a polynomial of degree 3 can have?
Ans: 1
With x^3 as its dominant term the polynomial is very negative when
x is very negative, and the polynomial is very positive when
x is very positive. Therefore the graph must pass thru the x-axis
at least once.
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Cheers,
Stan H.
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A. 0 B. 1 C. 2 D. 3 E. 4

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