Question:
Write the coefficient of the polynomial $p(z)=z^{5}-2 z^{2}+4$
Solution:
We have to find the co-efficient of the polynomial $p(z)=z^{5}-2 z^{2}+4$
Co-efficient of $z^{5}=1$
Co-efficient of $z^{4}=0$
Co-efficient of $z^{3}=0$
Co-efficient of $z^{2}=-2$
Co-efficient of $z=0$
Constant term $=4$
Hence, the co-efficient of $z^{5}, z^{4}, z^{3}, z^{2}, z$ and constant term is $1,0,0,-2,0,4$