b, Thay x=1 vào g(x) ta có:
\(g\left(1\right)=100.1^{100}+99.1^{99}+...+2.1^2+1+1\\ =100.1+99.1+...+2.1+1+1\\ =100+99+...+2+1+1\\ =\left(100+1\right).100:2+1\\ =5051\)
c, Thay x=-1 vào h(x) ta có:
\(h\left(-1\right)=1-\left(-1\right)+\left(-1\right)^2-\left(-1\right)^3+...+\left(-1\right)^{100}\\ =1+1+1+...+1\\ =101\)