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Consider the basis B={p0=1, p1=x, p2=x(x−1), p3=x(x−1)(x+1)} of the space P3. a, b, c and d are the coordinates of the p

Posted: Tue May 10, 2022 8:01 am
by answerhappygod
Consider the basis B={p0=1, p1=x, p2=x(x−1), p3=x(x−1)(x+1)} of
the space P3. a, b, c and d are the coordinates of the polynomial
p(x)=3−4x+2x^2−x^3 in relation to B, or p=ap0+bp1+cp2+dp3. Find
a+b.