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The leading term of the polynomial function is , where is a real number and is a positive integer. the factors of include , , and . what is the least possible value of ?

User Ktm
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Final answer:

The leading term of a polynomial function is determined by the term with the highest degree. In this case, the factors of the polynomial are given as (x - a), (x - b), and (x - c). The least possible value of n would be 1.

Step-by-step explanation:

The leading term of a polynomial function is determined by the term with the highest degree. In this case, the given factors of the polynomial include (x - a), (x - b), and (x - c). To find the least possible value of n, we need to consider the highest power of x in these factors.

When factors are multiplied, the exponents are added together. So, the highest power of x would be n + 1.

Therefore, the least possible value of n would be 1 (since (x - a)(x - b)(x - c) would result in x^3).

User Farrokh
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