Question

The polynomial y=x^5+x^3-x^2-1 factors into (x^2+1)(x^3-1) what is the multiplicity of the root (x^3-1)?A. 1B. 2C. 5D. 3

Answer 1

Answer

Option A is correct.

It has a multiplicity of 1.

Explanation

Multiplicity is the number of times a factor or root of a polynomial occurs in the factors breakdown of the polynomial.

And since (x^3 - 1) occurs only once, its multiplicity is 1.

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