Consider the cubic polynomial P3(x) = 1 + x-2x + x, and rewrite it by the...

 

Transcribed Image Text:

Consider the cubic polynomial P3(x) = 1 + x-2x + x, and rewrite it by the following polynomial: 3 93(x) = a; (x 1). j=0 Do so by determining the unknown constants a; for all j = {0, 1, 2, 3}. Use Taylor's remainder term to explain briefly whether or not the polynomial 93(x) exactly represents the given polynomial p3(x). Consider the cubic polynomial P3(x) = 1 + x-2x + x, and rewrite it by the following polynomial: 3 93(x) = a; (x 1). j=0 Do so by determining the unknown constants a; for all j = {0, 1, 2, 3}. Use Taylor's remainder term to explain briefly whether or not the polynomial 93(x) exactly represents the given polynomial p3(x).