Canonical form

The canonical form of a second degree polyomial in a variable x is the form a(x−c)²+b.

The canonical_form command finds the canonical form of a second degree polynomial.

canonical_form(x^2-6*x+1)

⎛
⎝

x−3

⎞
⎠

²−8

canonical_form(2*t^2+3*t+8)

⎛
⎜
⎜
⎝

⎞
⎟
⎟
⎠