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Aritmética, Álgebra

Total questions: 9

Worksheet time: 2hrs 15mins

Name
Class
Date
1.

Que estudia el Algebra y la Aritmetica?

responda detallado.

a)

si

b)

no

2.

Sea
 A:8x+y+z+u ,B:−3x−4y−2z+3uA:8x+y+z+u\ ,B:-3x-4y-2z+3u  
 C: 4x+5y+3z−4u ,D:−9x−y+z+2uC:\ 4x+5y+3z-4u\ ,D:-9x-y+z+2u  
calcular  (A+B)+(C+D)\left(A+B\right)+\left(C+D\right)  

a)

 =y+3z+2z=y+3z+2z  

b)

 =7y−4z+2u=7y-4z+2u  

c)

 =y−3z−2z=y-3z-2z  

3.

 A=5−{2+3−[4−(3−2)]+(5−8)}A=5-\left\{2+3-\left[4-\left(3-2\right)\right]+\left(5-8\right)\right\}  Simplificar la expresión dada

a)

 =−6=-6  

b)

 =6=6  

c)

 =32=\frac{3}{2}  

4.

Hallar el valor de
 C=−[(−20)(255)÷(−4)]3−[36+(−22)(3216)]−(−8)(2)C=-\left[\left(-20\right)\left(\frac{25}{5}\right)\div\left(-4\right)\right]3-\left[36+\left(-22\right)\left(\frac{32}{16}\right)\right]-\left(-8\right)\left(2\right)  

a)

 =51=51  

b)

 =−52=-52  

c)

 =−51=-51  

5.

Sea A:x3+2x2−3x+1, B:2x3−x2+4x−7, C:x3+x2−6x−2xA:x^3+2x^2-3x+1,\ B:2x^3-x^2+4x-7,\ C:x^3+x^2-6x-2x  calcular  A−B+Ccalcular\ \ A-B+C   

a)

 =4x2−13x+6=4x^2-13x+6  

b)

 =4x2+13x−6=4x^2+13x-6  

c)

 =x2−3x+6=x^2-3x+6  

6.

Calcular las expresiones \left(x+y+z\right)\left(x+y-z\right)\left(x-y+z\right)\left(x-y-z\right)  

a)

 =x4+y4+z4+2x2y2+2x2z2+2y2z2=x^4+y^4+z^4+2x^2y^2+2x^2z^2+2y^2z^2  

b)

 =x4+y4+z4−2x2y2−2x2z2−2y2z2=x^4+y^4+z^4-2x^2y^2-2x^2z^2-2y^2z^2  

c)

 =2x4+2y4+2z4−2x2y2−2x2z2−2y2z2=2x^4+2y^4+2z^4-2x^2y^2-2x^2z^2-2y^2z^2  

7.

calcular  −3x5+4x3−5x+1   entre    x−2-3x^5+4x^3-5x+1\ \ \ entre\ \ \ \ x-2  

a)

 C(x):−3x4−6x3−8x2−16x−37  y  R(x):−73C\left(x\right):-3x^4-6x^3-8x^2-16x-37\ \ y\ \ R\left(x\right):-73  

b)

 C(x):3x4+6x3+8x2+16x+37  y  R(x):73C\left(x\right):3x^4+6x^3+8x^2+16x+37\ \ y\ \ R\left(x\right):73  

c)

 C(x):−6x3+8x2−16x+37  y  R(x):−73C\left(x\right):-6x^3+8x^2-16x+37\ \ y\ \ R\left(x\right):-73  

8.

Hallar el producto de polinomios  (25m2+13mn−12n2)(32m2+2n2−mn)\left(\frac{2}{5}m^2+\frac{1}{3}mn-\frac{1}{2}n^2\right)\left(\frac{3}{2}m^2+2n^2-mn\right)  

a)

 35m+110m3n2−1760m2n2+76m2n3−n\frac{3}{5}m+\frac{1}{10}m^3n^2-\frac{17}{60}m^2n^2+\frac{7}{6}m^2n^3-n  

b)

 35m4+110m3n−1760m2n2+76mn3−n4\frac{3}{5}m^4+\frac{1}{10}m^3n-\frac{17}{60}m^2n^2+\frac{7}{6}mn^3-n^4  

c)

 3m4+110m3n−1760mn+76mn3+n43m^4+\frac{1}{10}m^3n-\frac{17}{60}mn+\frac{7}{6}mn^3+n^4  

9.

Hallar el cociente de la division  x6+6x3−2x5−7x2−4x+6   entre  x4−3x2+2x^6+6x^3-2x^5-7x^2-4x+6\ \ \ entre\ \ x^4-3x^2+2  

a)

 C(x): x2−2x+3C\left(x\right):\ x^2-2x+3  

b)

 C(x): 4x2−6x+3C\left(x\right):\ 4x^2-6x+3  

c)

 C(x): 5x2−7x+3C\left(x\right):\ 5x^2-7x+3