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15 September, 18:50

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact. f (x) = - 16x5 - 7x4 - 6

A. Degree: - 16; leading coefficient: 5

B. Degree: 5; leading coefficient: - 16

C. Not a polynomial function.

D. Degree: 9; leading coefficient: - 16

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  1. 15 September, 18:54
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    Step-by-step explanation:

    Part of the definition of a polynomial is that the exponents have to be non-negative integers. In other words, it cannot have a fraction as an exponent or an imaginary number. Our polynomial has real non-negative exponents, so it is in fact a polynomial. The degree is found in the highest exponent of the polynomial. Ours is a 5th degree. The leading coefficient is the number stuck to the x that has the highest degree. Therefore, our leading coefficient is - 16. B is your choice.
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