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How many roots does the polynomial….

How many roots does the polynomial….-example-1

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Answer:

(a) 3

Explanation:

The fundamental theorem of algebra tells you a polynomial has a number of roots equal to its degree.

Roots

The degree of a polynomial is the largest exponent of the variable. Here, the degree is 3. That means there are three roots.

In general, the roots of a polynomial with real coefficients will be real or pairs of complex roots. The attached graph shows the roots of this cubic function are all real (and irrational).

How many roots does the polynomial….-example-1
User Felix Petriconi
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