The correct option is
A 1Consider the polynomial, p(x)=bx+c.
Here, since the highest power of x is 1,
the degree of the given polynomial is 1, i.e. the given polynomial is a linear polynomial.
To find the zero of a polynomial, we write p(x)=0.
That is, bx+c=0 ⟹ bx=−c ⟹ x=−cb ⟹ x=−cb.
That is, a linear polynomial can have one and only one zero.
Therefore, option A is correct.