Question

 Find the zero of the polynomial in the following case:
\[P(x)=x+5\]

Answer 1

Hint: For the above question we would have to know about the zeroes of the polynomial. The zero of a polynomial can be defined as those values of x when substituted in the polynomial, making it equal to zero. In other words, we can say that the zeroes are the roots of the polynomial. We can obtain the zeroes of the polynomial P(x) by equating it to 0.

Complete step-by-step answer:
 We have been given the polynomial \[P(x)=x+5\].
We know that the zero of a polynomial P(x) can be obtained by equating the polynomial to 0. So the zero of the given polynomial P(x) is as follows:
\[\begin{align}
  & P(x)=0 \\
 & \Rightarrow 5+x=0 \\
\end{align}\]
On taking 5 to the right hand side, we get as follows:
\[\Rightarrow x=-5\]
Therefore the zero of the given polynomial is equal to -5.

Note: Be careful while solving the equations and take care of the sign while taking the terms to the right hand side. Also remember that the number of zeroes of the polynomial is equal to the maximum exponent of the variable in the polynomial. Therefore, since the polynomial in the question was a linear one, we got only one value of x or we can say that the polynomial has only one zero.