Question

Which of the following is not a polynomial ?
a) ROOT 2 b) x
c)1/x
1 d) ROOT 3 x + 5

Answer 1

( a ) Root 2 is a constant Polynomial as its degree is zero

( b ) x is a linear polynomial having degree 1 ( as variable x have power equal to 1 which is a whole number )

( c ) 1 / x = x ^ - 1 , Here power of variable x is - 1...which is not a whole number...( Degree of a ploynomial always a whole number but -1 is not a whole number...its an integer )...Thus 1 / x is not a ploynomial

( d )( Root 3 )x + 5 is a linear polynomial having degree 1

Thus Ans ( c )