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

A)0
B)9
C)-2
D)-11

Question

A polynomial is an expression of form  , where  is a positive integer. For the polynomial  what is  ?
​
A)0 
B)9 
C)-2 
D)-11

Quizplus · Accepted Answer

The degree of the polynomial is even, so it has a symmetric graph with respect to the y-axis. Therefore, if a is a root of the polynomial, then -a is also a root. Since the polynomial has only one root (based on the given information), that root must be 0. Thus, the answer is 0.

A Polynomial Is an Expression of Form , Where