Write the contrapositive converse inverse and negation of th

Write the contrapositive, converse, inverse and negation of this conditional statement.

Solution

If f(x) is a polynomial of odd degree then f has atleast one zero

The aim of the problem is to write the contrapositive, converse, inverse and negation of the given conditional statement

Contrapositive : If f does not have atleast one zero then f(x) is not a polynomial of odd degree

Converse: If f has atleast one zero then f(x) is a polynomial of odd degree

Inverse: If f(x) is not a polynomial of odd degree then f does not have atleast one zero

Negation:If f(x) is a polynomial of odd degree then f does not have atleast one zero