Question

Define zero of a polynomial.

Answer 1

Zero of Polynomial:

For a polynomial, there could be some values of the variable for which the polynomial will be zero. In mathematical terms, the zeros of the polynomial $p\left(x\right)$ are all the value of $x$ that make the polynomial equals to zero. Theses values of $x$ are called zero of a polynomial. For eg.

$p\left(x\right)=x^2-5x+6$

For $x=2,$ we have

$$\begin{gathered} p\left(2\right)=4-10+6 \\ p\left(2\right)=10-10 \\ p\left(2\right)=0 \end{gathered}$$

Hence, $x=2$ is zero of the polynomial $p\left(x\right)=x^2-5x+6$.