Embedded SageMathCell
Type your own Sage computation below and click "Evaluate".
You can save the current contents of a cell to a file by clicking the "Save" button.
print(factor(10^99+1))
var('x')
f(x) = 2-x^2
h(x) = (x^3+x)/(x-1)
pf = plot(f, x, -5, 5, ymin=-10, ymax=15, gridlines=True, axes_labels=['x','y'], color='red', thickness=1, fontsize=11, figsize=5, legend_label=r'$f(x) = 2 - x^2$')
ph = plot(h, x, -7, 4, exclude=[-3,1], detect_poles="show", ymin=-10, ymax=15, gridlines=False, axes_labels=['x','y'], fontsize=9, figsize=5, legend_label=r'$h(x) = \frac{x^3-x}{x-1}$', thickness=1) + line([(1,-20),(1,20)], color='lightgray', linestyle='--')
show(pf + ph)