$\"\"$ \ \

The function is $\"\"$ . \ \

Make a table and test some possible rational zeroes:

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Observe the table: \ \

Since $\"\"$ , there is a zero at $\"\"$ . \ \

The depressed polynomial is $\"\"$ . \ \

By using polynomial caluculator then remaining roots are imaginary. \ \

The quadratic function is $\"\"$ .

Therefore, the function has one real and four imaginary roots. \ \

The real root is $\"\"$ . \ \

$\"\"$ \ \

Option D is right choice.