Question

The zero of a polynomial $P\left(x\right)$ is:

• A. A number $c$ such that $P\left(c\right)=0$
• B. A number $c$ such that $P(-c)=1$
• C. A number $c$ such that $P\left(c\right)+P(-c)=0$
• D. none of the above

Answer 1

The correct option is A A number $c$ such that $P\left(c\right)=0$

Consider the polynomial, $p\left(x\right)=a{x}^2+bx+c$.

To find the zero of a polynomial, we write $p\left(x\right)=0$.

Hence, a real number $c$ is said to be a zero of the polynomial$p\left(x\right)$, if $p\left(c\right)=0$.

Therefore, option $A$ is correct.