Question

Verify whether the given statement is true or false:

$-3$ is a zero of $x-3$

• A. True
• B. False

Answer 1

The correct option is B False

Finding the zero of $x-3$:

Let $p\left(x\right)=$$x-3$.

In general, we can say that a zero of a polynomial $p\left(x\right)$ is a number $c$, such that $p\left(c\right)=0$.

To find the zero of $p\left(x\right)$, equate it with $0$, we get,

$\begin{array}{rcl}p\left(x\right)& =& 0\\ x-3& =& 0\\ x& =& 0+3\\ x& =& 3\end{array}$

Therefore, $3$ is the zero of polynomial $x-3$.

Hence, the given statement is False.