A polynomial is an expression of the form , where n is a positive integer. For the polynomial what is ?
A) 0
B) 13
C) 6
D) 14
E) 3

Question

A polynomial is an expression of the form , where n is a positive integer.  For the polynomial what is ?  
A) 0 
B) 13 
C) 6 
D) 14 
E) 3

Quizplus · Accepted Answer

The degree of a polynomial is the highest power of the variable with a non-zero coefficient. In this polynomial, the highest power of x that has a non-zero coefficient is 3. Therefore, the degree of the polynomial is 3.
To find the constant term, we need to evaluate the polynomial when x=0. Substituting x=0, we get:
f(0) = 3(0)^3 - 4(0)^2 - 5(0) + 13 = 13
Therefore, the constant term is 13.

A Polynomial Is an Expression of the Form , Where