Question

Draw the graph of $2x-5$ and find the point of intersection on X - axis. Is the zeroes of the polynomial?

Answer 1

Let $y=2x-5$
When $x=0$
$y=2\times 0-5=-5$
When $x=-1$
$y=2\times -1-5=-7$
When $x=1$
$y=2\times 1-5=-3$
When $x=2.5$
$y=2\times 2.5-5=0$
When $x=-2.5$
$y=2\times (-2.5)-5=-10$

List of $x$ and $y$
$x0-11,2.5-2.5$
$y5-7-30-10$
$(x,y)=(0,-5),(-1,-7),\left(\right(1,-3),(2.5,0),(-2.5,0)$
$\therefore$ The graph $y=2x-5$ cuts $X-$axis at he point $(2.5,0)$
$\therefore$ The zeroes of the polynomial is $2.5$