Question

Verify whether the given statement is true or false:

$\frac{-1}{3}$ is a zero of $3x+1$

• A. True
• B. False

Answer 1

The correct option is A True

Finding the zero of $3x+1$:

Let $p\left(x\right)=$$3x+1$.

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 to $0$, we get,

$\begin{array}{rcl}p\left(x\right)& =& 0\\ 3x+1& =& 0\\ 3x& =& -1\\ x& =& \frac{-1}{3}\end{array}$

Therefore, $\frac{-1}{3}$ is the zero of polynomial $3x+1$.

Hence, the given statement is True.