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Algebra
Question

Determine if \( f ( x ) = - x ^ { 3 } - x ^ { 4 } ...

Determine if \( f ( x ) = - x ^ { 3 } - x ^ { 4 } - 9 + 6 x \) is a polynomial function. If it is, state the degree and the leading coefficient. If not, state why not. 

Yes. The degree is \( 3 \) and the leading coefficient is \( - 1 \) . 

No. The leading coefficient is not a whole number. 

Yes. The degree is \( 4 \) and the leading coefficient is \( - 1 \) . 

No. There is an exponent on a variable \( x \) that is not a whole number.

Answer

\(\\  \text { Yes. The degree is } 4 \text { and the leading coefficient is } - 1\)

Solution
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