Question

Construct a graph which represent the zeroes of the quadratic polynomial for an equation$y=x^2-10x$.

Answer 1

Factor of $y=x^2-10x=x(x-10)=0$ or $x=0,x=10$
Plotting $(0,0)(5,-25)(10,0)$ and joining them.
Here, the graph cuts $x$-axis at two distinct points $A$ and $A^{\prime }$.
The $x$-coordinates of $A(10,0)$ and $A^{\prime }(0,0)$ are the two zeroes of the quadratic polynomial $y=x^2-10x$.