Question

A linear polynomial has _____ zero(s).

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is A $1$

Consider the polynomial, $p\left(x\right)=bx+c$.

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 $p\left(x\right)=0$.

That is, $bx+c=0$ $⟹$ $bx=-c$ $⟹$ $x=\frac{-c}{b}$ $⟹$ $x=-\frac{c}{b}$.

That is, a linear polynomial can have one and only one zero.

Therefore, option $A$ is correct.