1. Remember that the degree of a polynomial, the highest exponent, dictates the maximum number of roots it can have. Thus, the degree of a polynomial with a given number of roots is equal to or greater than the number of roots that are given.
2. The polynomial expression must na e linear factors. The Fundamental theorem of algebra guarantedd that a polynomial function can be written in terms of linear factors and must have the same number of linear factors as its degree.
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Answer:
1. Remember that the degree of a polynomial, the highest exponent, dictates the maximum number of roots it can have. Thus, the degree of a polynomial with a given number of roots is equal to or greater than the number of roots that are given.
2. The polynomial expression must na e linear factors. The Fundamental theorem of algebra guarantedd that a polynomial function can be written in terms of linear factors and must have the same number of linear factors as its degree.
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