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Полиноми - систематизација

Total questions: 9

Worksheet time: 27mins

Name
Class
Date
1.

Odredi zbir polinoma A=2a-3 i B=3a+7

a)

-5a-4

b)

5a+4

c)

5a-4

d)

-5a+4

2.

Odredi razliku polinoma A=2a-3 i B=3a+7

a)

-a-10

b)

-a+4

c)

a+4

d)

a-10

3.

Odredi proizvod polinoma A=2a-3 i B=3a+7

a)

6a2-5a-21

b)

5a2-6a+21

c)

5a2-14a+2

d)

6a2+5a-21

4.

Odredi A2 ako je A=2a-3

a)

4a2-9

b)

4a2-12a+9

c)

4a2+12a+9

d)

4a2-12a-9

5.

Odredi  (32x5y3z2)4\left(\frac{3}{2}x^5y^3z^2\right)^4  

a)

 128x20y12z8\frac{12}{8}x^{20}y^{12}z^8  

b)

 8116x20y12z8\frac{81}{16}x^{20}y^{12}z^8  

c)

 128x9y7z6\frac{12}{8}x^9y^7z^6  

d)

 8116x9y7z6\frac{81}{16}x^9y^7z^6  

6.

Uprosti izraz       (13ab)2⋅6a2b5\left(\frac{1}{3}ab\right)^2\cdot6a^2b^5  

a)

 23a4b9\frac{2}{3}a^4b^9  

b)

 69a2b9\frac{6}{9}a^2b^9  

c)

 154a4b9\frac{1}{54}a^4b^9  

d)

 54a2b954a^2b^9  

7.

 4a2−49b24a^2-49b^2  

Razliku kvadrata zapiši u obliku proizvoda

a)

 (2a−7b)⋅(2a+7b)\left(2a-7b\right)\cdot\left(2a+7b\right)  

b)

 (4a−49b)⋅(4a+49b)\left(4a-49b\right)\cdot\left(4a+49b\right)  

c)

 (4a−49)⋅(4a−49)\left(4a-49\right)\cdot\left(4a-49\right)  

d)

 4a2⋅49b24a^2\cdot49b^2  

8.

 (49x+58y)⋅(49x−58y)\left(\frac{4}{9}x+\frac{5}{8}y\right)\cdot\left(\frac{4}{9}x-\frac{5}{8}y\right)  

Transformisati proizvod u razliku kvadrata

a)

 1681x2−2564y2\frac{16}{81}x^2-\frac{25}{64}y^2  

b)

 49x2−58y2\frac{4}{9}x^2-\frac{5}{8}y^2  

c)

 1681x2+2564y2\frac{16}{81}x^2+\frac{25}{64}y^2  

d)

 49x2+58y2\frac{4}{9}x^2+\frac{5}{8}y^2  

9.

 (3b+8)2−(2b−7)2\left(3b+8\right)^2-\left(2b-7\right)^2  

Uprostiti izraz

a)

 5b2+155b^2+15  

b)

 5b2+76b+155b^2+76b+15  

c)

 9b2−499b^2-49  

d)

 5b2+20b+155b^2+20b+15