E-10: Let f(x) be a non-constant polynomial satisfying the relation f(x).f (y)= f(x)+f(y)+f(xy)-2, for all real x', 'y'and f (0) 1, suppose f(4) = 65, then a) f'(x) is a polynomial of degree 2 b) roots of f'(x) = 2x+1 are real c) x.f"(x) = 3(f(x)-1) d) f'(-1)=3
E-10: Let f(x) be a non-constant polynomial satisfying the relation f(x).f (y)= f(x)+f(y)+f(xy)-2, for all real x', 'y'and f (0) 1, suppose f(4) = 65, then a) f'(x) is a polynomial of degree 2 b) roots of f'(x) = 2x+1 are real c) x.f"(x) = 3(f(x)-1) d) f'(-1)=3
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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