Question

Se considera polinomul P(x)=$(x^2+x+1) ^{100}$=$a_{0}+a_{1}x+...+a_{199} x^{199}+a_{200}x^{200}$
sa se afle valoarea lui $a_{1}$

Answer 1

P'(x)=200a(200)x^199+...+2a(2)x+a1=100[(x^2+x+1)^99](2x+1)P'(0)=a1=100*1*1=100