Question

Match Column I with Column II to make a complete sentence.

Column 1	Column 2
Every linear polynomial has	polynomial has no zero
A polynomial can have	one and only one zero
A non–zero constant	may or may not be zero
A zero of a polynomial	more than one zero

Answer 1

Explanation for (A):

In (A) it is given that "Every linear polynomial has"

Now we know that a polynomial of degree one is called a linear polynomial and degree one means that a polynomial will have only one root.

Therefore, Every linear polynomial has one and only one zero.

Hence, (A) matches with (II).

Explanation for (B):

In (B) it is given that "A polynomial can have"

Now we know that a polynomial can have one or more roots depending on its degree.

Therefore, A polynomial can have more than one zero.

Hence, (B) matches with (IV).

Explanation for (C):

In (C) it is given that "A non–zero constant"

Now we know that a non-zero constant is defined as a polynomial of degree zero i.e. it has no roots.

Therefore, A non–zero constant polynomial has no zero.

Hence, (C) matches with (I).

Explanation for (D):

In (D) it is given that "A zero of a polynomial"

Now we know that a zero of a polynomial can be zero or non-zero.

Therefore, A zero of a polynomial may or may not be zero.

Hence, (D) matches with (III).

Column-I	Column-II
(A) Every linear polynomial has	(II) one and only one zero
(B) A polynomial can have	(IV) more than one zero
(C) A non–zero constant	(I) polynomial has no zero
(D) A zero of a polynomial	(III) may or may not be zero