1.10.27 Polynomials

Condition: given polynomial \ (p (z) = a z^{4}+b z^{3}+c z^{2}+d z+e \). 1) Find all the roots of the polynomial \ (p (z) \). Record each root in algebraic form, indicate its algebraic multiplicity. 2) decompose polynomial \ (p (z) \) into irreversible multipliers: a) in the set \ (\ mathbb {c} \) complex numbers; b) in the set \ (\ mathbb {r} \) actual numbers. \ [a = 1, \ quad b = -2, C = 8, D = 3, E = 18 \ Text {. } \]