Respuesta:
SUPONGO QUE Q(X) ES 6X3+9X2-11X+6
Explicación paso a paso:
si x = 2
2P(x)-3Q(x) = 2(5X3-2X2+6X-4) - 3(6X3+9X2-11X+6)
= 10X3-4X2+12X-8 - 18X3-27X2+33X-18
= -8X3-31X2+45X-36
= -8(8)-31(4)+45(2)-36
= -64-124+90-36
=-134
5P(X)/4Q(X) = (5(5X3-2X2+6X-4 ))/(4(6X3+9X2-11X+6))
=(25X3-10X2+30X-20)/(24X3+36X2-44X+24)
= 1 + ((-46X2+74X-44)/(24X3+36X2-44X+24))
= 1 + ((-46(4)+74(2)-44)/(24(8)+36(4)-44(2)+24))
= 1 + (-184+148-44)/(192+144-88+24)
= 1 + (-80/272)
= 1+ (-5/17) SACAMOS m.c.m.
= (17 - 5)/17
=12/17
= 0.705882352
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Respuesta:
SUPONGO QUE Q(X) ES 6X3+9X2-11X+6
Explicación paso a paso:
si x = 2
2P(x)-3Q(x) = 2(5X3-2X2+6X-4) - 3(6X3+9X2-11X+6)
= 10X3-4X2+12X-8 - 18X3-27X2+33X-18
= -8X3-31X2+45X-36
= -8(8)-31(4)+45(2)-36
= -64-124+90-36
=-134
5P(X)/4Q(X) = (5(5X3-2X2+6X-4 ))/(4(6X3+9X2-11X+6))
=(25X3-10X2+30X-20)/(24X3+36X2-44X+24)
= 1 + ((-46X2+74X-44)/(24X3+36X2-44X+24))
= 1 + ((-46(4)+74(2)-44)/(24(8)+36(4)-44(2)+24))
= 1 + (-184+148-44)/(192+144-88+24)
= 1 + (-80/272)
= 1+ (-5/17) SACAMOS m.c.m.
= (17 - 5)/17
=12/17
= 0.705882352