Найдите корни многочлена: 2a^5-32a; y^3+y^2+9y+9.

2aˇ5-32a=2a (aˇ4-16) = 2a (aˇ4-2ˇ4) = 2a (aˇ2+2ˇ2) (aˇ2-2ˇ2) =

=2a (aˇ2+4) (a+2) (a-2) = 0

1) a=0, a=-2, a=2

2) aˇ2+4=0, a∉R

y³+y²+9y+9=y² (y+1) + 9 (y+1) = (y+1) (y²+1) = 0

1) y=-1

2) y²+1=0, y∉R

2a (a^4-16) = 0

a=0 или a^4=32 = > a=2 или a=-2

y^2 (y+1) + 9 (y+1) = 0

(y^2+9) (y+1) = 0

y=-1