denote the standard basis for P2

Let β = 1, x, x2 denote the standard basis for P2(F).   (a) Show that β 0 = 1 + x, 1 + x 2 , x + x 2 is also a basis for P2(F). (b) Find the transition matrix from β to β 0 . Show all working https://www.studyhelpus.com/Questions & Answers/denote-the-standard-basis-for-p2/