A polynomial is an expression of form , where is a positive integer. For the polynomial what is ?

A)0
B)7
C)9
D)10

Question

A polynomial is an expression of form  , where  is a positive integer. For the polynomial  what is  ?
​
A)0 
B)7 
C)9 
D)10

Quizplus · Accepted Answer

The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the polynomial is of degree 6 because the highest power of x is 6. When we take the derivative of a polynomial of degree n, the resulting polynomial has degree n-1. Therefore, the derivative of this polynomial will have degree 5. The only answer choice that is consistent with this is B, 7.

A Polynomial Is an Expression of Form , Where