h)

P(x) tiene grado 3

( f(x) es propia

Q(x) tiene grado 6

(x3-x2+x+B=Ax(x2-4x+4)+B(x3+3x)(x3+3x)(x2-4x+4)+C(x2+6x+9)(x2-4x+4)x+ Dx(x3+9x2+27x+27+E(x3+9x2+27x+27)(x2-2x)+F(x3+9x2+27x+27)(x+2-4x+4)x3-x2+x+3=Ax3-4Ax2+4Ax+B(x4-4x3+4x3+3x3-12x3+12x)+xC(x4-4x3+4x2+6x3-24x2+ 24x+9x2-36x+36)+(Dx4+9Dx3+270x2+270x)+E(x5+9x4+27x3+27x2-2x4-18x3-54x2-54x)+F(x5+9x4+27x3+27x2-4x4-36x3-108x2-108x+4x3+36x2 +108x+108)

x3-x2+x+3=Ax3-4Ax3+4Ax+B(x4-x3-8x2+12x)+C(x5-2x4-11x3-12x2+36x)+

(Dx4+90x3+27Dx2+27Dx)+E(x5+7x4+9x3-27x2-54)+F(x5+5x4-5x3-45x2+108)x3-x2+x+3=x5(C+E+F)+x4(B-2C+D+7E+5F)+x3(A-B-11C+9D+9E-5F)+x2(-4-8B-12C

+27D-27E-45F)+x(4+12B+36C+27D)+(-54E+108F)

C+E+F= 0 = E+F=-C

B-2C+D+7E+5F=0

A-B-11C+9D+9E-5F=1

(-4A-8B-12C+27D-27E-45F=1

4+12B+36C+27D=1

-54E+108F=3

-18E+36F=1

-18(E-2F)=1

-E+2f=

4A-4B-44C+36D+36E-20F=4

4B+24C+54D-27E-45F=2

B- 2C+ D- 7E+ 5F=0 x-4

32C+ 5D+ E-65F=232 (-E-F) + 5D + E -65F = 2

-31E 97F + 5D = 2

31-9F+5D=2 ( -71F + 5D = 2

5D-71F=2-

5D-71F=

E + F = - C (2F -+F=-C50-71F=

3F + C =

- E + 2F =

B -

B 2C + D + 7E + 5F = 0

B 2(-E-F)+-+7+5F=0

B 2

B-4F+

B 59F =

B 59F =

4A+12

4A+8+

4A+

4A+

4A+

M. PARCIALEC

m)

(x4+5x2+4 = (x2+1)(x2+4)

2 x 5x2 = (Ax3 + 4Ax + Bx2 + 4B) + (Cx3 + CX + Dx2 + D)

2 x 5x2 = x3 (A + C) + x2 (B+D) + x(4A + C) + (4B + D)

A + C = 0

A + C = 0

B + D = -5 (-B + D = - 5 ( D = 4A + C = - 1

4B + D = 2

4A + C = - 1

-3A = 1

-3B = -7 ( B =

4B + D = 2

A =

( 4 . -

=

=

=

=

_1438861004.unknown

_1438861513.unknown

_1438862091.unknown

_1438862727.unknown

_1438862792.unknown

_1438862956.unknown

_1438863126.unknown

_1438863279.unknown

_1438863115.unknown

_1438862837.unknown

_1438862745.unknown

_1438862514.unknown

_1438862709.unknown

_1438862167.unknown

_1438861747.unknown

_1438861949.unknown

_1438862080.unknown

_1438861897.unknown

_1438861570.unknown

_1438861670.unknown

_1438861544.unknown

_1438861229.unknown

_1438861428.unknown

_1438861472.unknown

_1438861273.unknown

_1438861142.unknown

_1438861204.unknown

_1438861072.unknown

_1438860801.unknown

_1438860891.unknown

_1438860959.unknown

_1438860972.unknown

_1438860901.unknown

_1438860857.unknown

_1438860873.unknown

_1438860840.unknown

_1438860553.unknown

_1438860754.unknown

_1438860782.unknown

_1438860738.unknown

_1438854055.unknown

_1438859424.unknown

_1438853937.unknown