Aquí os dejo unos ejercicios de suma, resta y multiplicación de polinomios.
Siendo:
P(x)=2x2−3x+1
Q(x)=5x2+x−3
R(x)=4x−3
S(x)=x3+2x2−x+3
∙ P(x)+Q(x)=
P(x)+Q(x)=2x2−3x+1+5x2+x−3
P(x)+Q(x)=7x2−2x−2
∙ P(x)+Q(x)−S(x)=
P(x)+Q(x)−S(x)=2x2−3x+1+5x2+x−3−x3−2x2+x−3
\boxed{\ P\left( x\right) +Q\left( x\right) -S\left( x\right) = -x^{3}+5x^{2}-x-2}
\bullet\ R\left( x\right)\cdot P\left( x\right) =
\ R\left( x\right)\cdot P\left( x\right) = \left( 4x-3\right) \left( 2x^{2}-3x+1\right)
\ R\left( x\right)\cdot P\left( x\right) = 8x^{3}-12x^{2}+4x-6x^{2}+9x-3
\boxed{\ R\left( x\right)\cdot P\left( x\right) = 8x^{3}-18x^{2}+13x-3}
\bullet\ R\left( x\right)\cdot Q\left( x\right) =
R\left( x\right)\cdot Q\left( x\right) = \left( 4x-3\right) \left( 5x^{2}+x-3\right)
R\left( x\right)\cdot Q\left( x\right) = 20x^{3}+4x^{2}-12x-15x^{2}-3x+9
\boxed{R\left( x\right)\cdot Q\left( x\right) = 20x^{3}-11x^{2}-15x+9}
\bullet\ P\left( x\right) \cdot S\left( x\right) =
P\left( x\right)\cdot S\left( x\right) = \left( 2x^{2}-3x+1\right) \left( x^{3}+2x^{2}-x+3\right)
P\left( x\right)\cdot S\left( x\right) = 2x^{5}+4x^{4}-2x^{3}+6x^{2}-3x^{4}-6x^{3}+3x^{2}-9x+x^{3}+2x^{2}-x+3
\boxed{\ P\left( x\right)\cdot S\left( x\right) =2x^{5}+x^{4}-7x^{3}+11x^{2}-10x+3}
Si veis alguna errata o tenéis alguna duda dejad un comentario
martes, 15 de abril de 2014
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