Question: Please show all work, step by step. Thank you so much! (5) [12] Recall that Pris the vector space of polynomials of degree at most

Please show all work, step by step. Thank you so much!

(5) [12] Recall that Pris the vector space of polynomials of degree at most n. Show that the following set is a basis for P3: (1,1 + x, 1+x+x,1+x+x2+x3 } What is the dimension of this vector space

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