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Scomposizione di polinomi e frazioni algebriche

Authored by Vincenzo Lombardi

Mathematics

1st Grade

Used 21+ times

Scomposizione di polinomi e frazioni algebriche
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20 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

La condizione di esistenza della frazione algebrica   a+1a−2\frac{a+1}{a-2}  è :

   a≠−2a≠-2  

 a≠2a≠2  

 a≠−1a≠-1  

 a≠1/2a≠1/2  

 a≠−1/2a≠-1/2  

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Qual è il risultato della semplificazione della frazione algebrica   (3a2−6ab)/(3a2)(3a^2-6ab)/(3a^2)  (con  a≠0a\ne0    )?

 −6ab-6ab  

  −2b-2b  

  (a−2b)/3a(a-2b)/3a  

 (a−2b)/a(a-2b)/a  

 (a−2b)/3(a-2b)/3  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Qual è il risultato di   1/(a−b)−1/a1/(a-b)-1/a    (con   a≠0 , a≠ba\ne0\ ,\ a\ne b  )?

 1/(−b)1/(-b)  

 b/a(a−b)b/a(a-b)  

 00  

 (−b)/(a−b)(-b)/(a-b)  

 1/(2a−b)1/(2a-b)  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Determina il risultato dell’espressione  2/3a+1/4a−1/2a2/3a+1/4a-1/2a  , con  a≠0a\ne0    

 17/12a17/12a  

 1/12a1/12a  

 5/12a5/12a  

 1/2a1/2a  

 −1/12a-1/12a  

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 La frazione algebrica   (x3+2x2−x−2)/(x+1)(x^3+2x^2-x-2)/(x+1)  (con   x≠−1x\ne-1   ) si semplifica nella seguente espressione:

 x−1x-1  

   x+2x+2  

 x2+x−2x^2+x-2  

 x+1x+1  

 x2−x+2x^2-x+2  

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Il risultato della moltiplicazione   a3bc2−2b2c4a2c⋅2aba3c−2b\frac{a^3bc^2-2b^2c}{4a^2c}\cdot\frac{2ab}{a^3c-2b}    (con   a≠0a\ne0   ,  c≠0c\ne0     e   a3c≠2ba^3c\ne2b   ) è:

 11  

 −b2-b^2  

 −b2/2a-b^2/2a  

 2ba2ba  

 b2/2ab^2/2a  

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

La divisione  5y2−3xy+12x−4: 3xy+3xxy\frac{5y^2-3xy+1}{2x-4}:\ \frac{3xy+3x}{xy}  è eseguibile se:

 x≠0∧y≠0x≠0∧y≠0  

 x≠2∧x≠0x≠2∧x≠0  

 x≠0∧x≠−2∧y≠0x≠0∧x≠-2∧y≠0  

 x≠0∧x≠2∧y≠0x≠0∧x≠2∧y≠0  

 x≠0∧x≠2∧y≠0∧y≠−1                                         x≠0∧x≠2∧y≠0∧y≠-1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \   

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