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SUMA Y RESTA DE POLINOMIOS

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.


 P(x):x5+10x4−3x3−2x2+4x−3P\left(x\right):x^5+10x^4-3x^3-2x^2+4x-3  

 Q(x):−7x3+5x2−3x+8Q\left(x\right):-7x^3+5x^2-3x+8  

a)

 P(x)+Q(x):x5+10x4−10x3+3x2+x+5P\left(x\right)+Q\left(x\right):x^5+10x^4-10x^3+3x^2+x+5  

b)

 P(x)+Q(x):x5−10x4−12x3−2x2+x−5P\left(x\right)+Q\left(x\right):x^5-10x^4-12x^3-2x^2+x-5  

c)

 P(x)+Q(x):−x5−8x4−9x3+3x2+x+5P\left(x\right)+Q\left(x\right):-x^5-8x^4-9x^3+3x^2+x+5  

2.

 P(x):4x3−7x2−13x5+11x4−14+xP\left(x\right):4x^3-7x^2-13x^5+11x^4-14+x  

ordenar el siguiente polinomio de forma descendente

a)

 P(x):−13x5+11x4+4x3−7x2+xP\left(x\right):-13x^5+11x^4+4x^3-7x^2+x  

b)

 P(x):−13x5+11x4+4x3−7x2+x−14P\left(x\right):-13x^5+11x^4+4x^3-7x^2+x-14  

c)

 P(x):−13x5+11x4+4x3−14P\left(x\right):-13x^5+11x^4+4x^3-14  

3.

 P(x):−7x4−4x3−2x2+9x+3P\left(x\right):-7x^4-4x^3-2x^2+9x+3  
 Q(x):−5x4+7x3+2x2−9x−5Q\left(x\right):-5x^4+7x^3+2x^2-9x-5  
 P(x)+Q(x):P\left(x\right)+Q\left(x\right):  

a)

 P(x)+Q(x):−12x4+3x3−4x2−2P\left(x\right)+Q\left(x\right):-12x^4+3x^3-4x^2-2  

b)

 P(x)+Q(x):−12x4+3x3−18x−2P\left(x\right)+Q\left(x\right):-12x^4+3x^3-18x-2  

c)

 P(x)+Q(x):−12x4+3x3−2P\left(x\right)+Q\left(x\right):-12x^4+3x^3-2  

4.

 P(x):−7x4−4x3−2x2+9x+3P\left(x\right):-7x^4-4x^3-2x^2+9x+3  
 Q(x):−5x4+7x3+2x2−9x−5Q\left(x\right):-5x^4+7x^3+2x^2-9x-5  
 P(x)−Q(x):P\left(x\right)-Q\left(x\right):  

a)

 P(x)−Q(x):−2x4−11x3−4x2+18x+8P\left(x\right)-Q\left(x\right):-2x^4-11x^3-4x^2+18x+8  

b)

 P(x)−Q(x):2x4−11x3−4x2+18x+2P\left(x\right)-Q\left(x\right):2x^4-11x^3-4x^2+18x+2  

c)

 P(x)−Q(x):−2x4−11x3+8P\left(x\right)-Q\left(x\right):-2x^4-11x^3+8  

5.

 P(x):−7x4−4x3−2x2+9x+3P\left(x\right):-7x^4-4x^3-2x^2+9x+3  
 Q(x):−5x4+7x3+2x2−9x−5Q\left(x\right):-5x^4+7x^3+2x^2-9x-5  
 Q(x)−P(x):Q\left(x\right)-P\left(x\right):  

a)

 Q(x)−P(x):2x4+11x3+4x2−18x−8Q\left(x\right)-P\left(x\right):2x^4+11x^3+4x^2-18x-8  

b)

 Q(x)−P(x):2x4−11x3−4x2+18x+2Q\left(x\right)-P\left(x\right):2x^4-11x^3-4x^2+18x+2  

c)

 Q(x)−P(x):−2x4−11x3+4x2−18x−8Q\left(x\right)-P\left(x\right):-2x^4-11x^3+4x^2-18x-8  

6.

 P(y):2y2+5y4−3y3+7y+13P\left(y\right):2y^2+5y^4-3y^3+7y+13  
 Q(y):−15y4−8y2−5y3−7y+4Q\left(y\right):-15y^4-8y^2-5y^3-7y+4  
 P(y)+Q(y):P\left(y\right)+Q\left(y\right):  

a)

 P(y)+Q(y):−10y4−8y3−6y2+17P\left(y\right)+Q\left(y\right):-10y^4-8y^3-6y^2+17  

b)

 P(y)+Q(y):−10y4−8y3−6y2+14y+17P\left(y\right)+Q\left(y\right):-10y^4-8y^3-6y^2+14y+17  

c)

 P(y)+Q(y):−10y4−8y3−6y2+14yP\left(y\right)+Q\left(y\right):-10y^4-8y^3-6y^2+14y  

7.

 P(y):2y2+5y4−3y3+7y+13P\left(y\right):2y^2+5y^4-3y^3+7y+13  
 Q(y):−15y4−8y2−5y3−7y+4Q\left(y\right):-15y^4-8y^2-5y^3-7y+4  
 P(y)−Q(y):P\left(y\right)-Q\left(y\right):  

a)

 P(y)−Q(y):20y4+2y3+10y2+14y+9P\left(y\right)-Q\left(y\right):20y^4+2y^3+10y^2+14y+9  

b)

 P(y)−Q(y):−20y4+2y3+10y2+14y+9P\left(y\right)-Q\left(y\right):-20y^4+2y^3+10y^2+14y+9  

c)

 P(y)−Q(y):20y4+10y2−14y−9P\left(y\right)-Q\left(y\right):20y^4+10y^2-14y-9  

8.

 P(y):2y2+5y4−3y3+7y+13P\left(y\right):2y^2+5y^4-3y^3+7y+13  
 Q(y):−15y4−8y2−5y3−7y+4Q\left(y\right):-15y^4-8y^2-5y^3-7y+4  
 Q(y)−P(y):Q\left(y\right)-P\left(y\right):  

a)

 P(y)−Q(y):20y4+2y3+10y2+14y−9P\left(y\right)-Q\left(y\right):20y^4+2y^3+10y^2+14y-9  

b)

 Q(y)−P(y):−20y4−2y3−10y2−14y−9Q\left(y\right)-P\left(y\right):-20y^4-2y^3-10y^2-14y-9  

c)

 Q(y)−P(y):−20y4+10y2−14y−9Q\left(y\right)-P\left(y\right):-20y^4+10y^2-14y-9  

9.

 P(m):12m2+13m−52P\left(m\right):\frac{1}{2}m^2+\frac{1}{3}m-\frac{5}{2}  
 Q(m):−34m2+16m+34Q\left(m\right):-\frac{3}{4}m^2+\frac{1}{6}m+\frac{3}{4}  
 P(m)+Q(m):P\left(m\right)+Q\left(m\right):  

a)

 P(m)+Q(m):−14m2−12m−74P\left(m\right)+Q\left(m\right):-\frac{1}{4}m^2-\frac{1}{2}m-\frac{7}{4}  

b)

 P(m)+Q(m):−14m2+12m+24P\left(m\right)+Q\left(m\right):-\frac{1}{4}m^2+\frac{1}{2}m+\frac{2}{4}  

c)

 P(m)+Q(m):−14m2+12m−74 P\left(m\right)+Q\left(m\right):-\frac{1}{4}m^2+\frac{1}{2}m-\frac{7}{4}\text{ }  

10.

 P(m):12m2+13m−52P\left(m\right):\frac{1}{2}m^2+\frac{1}{3}m-\frac{5}{2}  
 Q(m):−34m2+16m+34Q\left(m\right):-\frac{3}{4}m^2+\frac{1}{6}m+\frac{3}{4}  
 P(m)−Q(m):P\left(m\right)-Q\left(m\right):  

a)

 P(m)−Q(m):−14m2−12m−134P\left(m\right)-Q\left(m\right):-\frac{1}{4}m^2-\frac{1}{2}m-\frac{13}{4}  

b)

 P(m)−Q(m):54m2+16m−134P\left(m\right)-Q\left(m\right):\frac{5}{4}m^2+\frac{1}{6}m-\frac{13}{4}  

c)

 P(m)−Q(m):−54m2+32m−74 P\left(m\right)-Q\left(m\right):-\frac{5}{4}m^2+\frac{3}{2}m-\frac{7}{4}\text{ }  

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