\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that \(\mathcal{B} = (1 + X, X + X^2, X^2 + X^3, X^3)\) is a basis of \(\mathbb{R}_3[X]\).
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.