Desmos — A quick review

I just love to see it when academic stuffs which can be “algorithmised” gets converted into softwares.

Just came across this online web based tool called Desmos which can quickly convert polynomials to graphs. If I understand correctly, there is more to Desmos, but, just tried out this feature.

Here are few plots which I tried out using Desmos. This should give an idea of what Desmos can do and how powerful it is.

When desmos plotted a line from the equation of a line given in the slope intercept form

Desmos plotting a parabola

Desmos plotting a parabola with its vertex at 4

This plot and the immediate next one is what I liked the best about Desmos. The polynomial tried out has roots 1 and -3. From the graphical representation, it can be clearly made out that the multitude of the factor 1 is in even powers and the multitude of the factor -3 has an odd power. (At point 1, we clearly have a bounce at the x axis and at point -3, we have the line crossing the x — axis)

This plot has the expanded form of the polynomial tried out in the scenario above. So, in cases like this, where the polynomial is not in the factored form, desmos can be used to find the roots of a polynomial. In this case, it looks like, we can easily make out that roots are -3 (one time or with multitude 1) and 2 with multitude 2 (cannot be more than 2, because the original polynomial has a degree of 3)

And, one last plot with Desmos. It shows the factors 2, -2 and 0. All with even multitude.