Question

Zero of a polynomial is always zero.

• A. True
• B. False
• C. Cannot be determined
• D. None of the above

Answer 1

The correct option is B False

We know that the zero of the polynomial is defined as any real value of $x$, for which the value of the polynomial becomes zero.

For example:

Let $f\left(x\right)=-4x+7$ be the polynomial.

To find the zero of the polynomial, we substitute $f\left(x\right)=0$ as shown below:

$f\left(x\right)=-4x+7\Rightarrow 0=-4x+7\Rightarrow 4x=7$

$\Rightarrow x=\frac{7}{4}$.

Therefore, $\frac{7}{4}$ is the zero of the polynomial $f\left(x\right)=-4x+7$, which contradicts the statement that zero of a polynomial is always zero.

Hence, the zero of a polynomial is not always zero.

Therefore, the given statement is false.

That is, option $B$ is correct.