Question

Find the zero of the polynomial \[p\left( x \right) = x - 5\]

Answer 1

Hint: In order to find the zero of a polynomial we just have to put the given polynomial equal to zero and then find the value of x so obtained.
The value of x is the zero of the polynomial.

Complete step-by-step answer:
The given polynomial is:-
\[p\left( x \right) = x - 5\] …………………..(1)
Now we know that in order to find the zero of a polynomial we have to put the given polynomial equal to zero.
Hence we have to put the given polynomial \[p\left( x \right)\] equal to zero i.e.
\[p\left( x \right) = 0\]…………………………….(2)
Equating equations 1 and 2 we get:-
\[ \Rightarrow x - 5 = 0\]
Now evaluating for the value of x we get:-
$x = 0 + 5$
$\Rightarrow x = 5$

Hence the x intercept or the root or zero of the given polynomial is:-
\[x = 5\]

Note: Zero of a polynomial is defined as the value of x or x intercept at which the value of the given polynomial is zero.
They are also called roots of the polynomial.
X intercept is the point on x axis where \[y = 0\]