Wikipedia says that the concatenation operator $\|$ concatenates digits of two numbers:
... the concatenation of 69 and 420 is 69420.
Is there a similar concatenation operator (or the same?) for polynomials as well? For example:
$$ x^2 + 1\;\|\; x\quad=\quad (x^2 + 1)x^2 + x \quad=\quad x^4 + x^2 + x $$
The idea is that it takes the highest degree term on the right (say degree $D$) and multiplies the polynomial on the left by $x^{D+1}$ and adds them together.
