Question

Draw the graph of the linear polynomial x+5 and also find the zeroes of the polynomial

Answer 1

Given:

Polynomial $x+5$.

To find:

The zero of given polynomial.

And to draw the graph of polynomial.

Solution:

Zero of a polynomial $y = f(x)$ is the value of $x$ such that the value of $y = 0$.

It is also known as the x intercept.

It is also known as the root of polynomial and y becomes 0.

Here,

Let $y =x+5$

It is a linear equation so there exists only one zero for this given polynomial.

To find the zero of above equation:

Let us put $y = 0$

$\Rightarrow y = 0 =x+5\\\Rightarrow x+5=0\\\Rightarrow x = -5$

So, zero of the above polynomial is at the value of $x =-5$.

And value of y at $x =-5$:

$y = -5+5 \\\Rightarrow y =0$

If we put $x = 0$

$\Rightarrow y = 0 +5 \Rightarrow y = 5$

Now, we have 2 points with us (0, 5) and (-5, 0) which can be used to plot the polynomial which is a linear equation.

Please refer to the attached graph.

Zero of given polynomial is $x=-5$