Quiz about POLINOMIOAK, BIDERKADURA NABARMENAK ETA ZATIKI ALJEBRAIKOAK

Question 1

Ondorengo polinomioekin egin adierazitako eragiketak:

$$\left(x^5-7x^4+3x^2-8\right)-\left(2x^3+x^2-4\right)$$

Accepted Answer

$$x^5-7x^4-2x^3+2x^2-4$$

Answer

$$x^5-7x^4-2x^3+2x^2-12$$

Answer

$$x^5-7x^4-2x^3+4x^2-4$$

Answer

$$x^5-7x^4-2x^3+2x^2-12$$

Question 2

Ondorengo polinomioekin egin adierazitako eragiketak:

$$2\left(2x^3+x^2-4\right)+\frac{1}{2}\left(2x^2-6x^{ }+\frac{3}{2}\right)$$

Accepted Answer

$$4x^3+3x^2-3x-\frac{29}{4}$$

Answer

$$4x^3+3x^2-3x-5$$

Answer

$$4x^3+6x^2-12x-5$$

Answer

$$4x^3+3x^2-3x-7$$

Question 3

Ondorengo polinomioekin egin adierazitako eragiketak:

$$2x^3+x^2-4-3\left(x^5-7x^4+3x^2-8\right)+2x^2-6x^{ }+\frac{3}{2}$$

Accepted Answer

$$-3x^5+21x^4+2x^3-6x^2-6x+\frac{43}{2}$$

Answer

$$-3x^5-21x^4+2x^3+6x^2-6x+\frac{43}{2}$$

Answer

$$-3x^5-21x^4+2x^3+12x^2-6x+\frac{59}{2}$$

Answer

$$-3x^5+21x^4-2x^3+3x^2-6x+\frac{23}{2}$$

Question 4

Garatu ondorengo biderkadura nabarmen hau:

$$\left(3a^4-2\right)^2$$

Accepted Answer

$$9a^8-12a^4+4$$

Answer

$$3a^8-12a^4+4$$

Answer

$$9a^6-12a^4+4$$

Answer

$$9a^8-4$$

Question 5

Garatu ondorengo biderkadura nabarmen hau:

$$\left(2x^2-3a\right)\left(2x^2+3a\right)$$

Accepted Answer

$$4x^4-9a^2$$

Answer

$$2x^4-3a^2$$

Answer

$$4x^4-9a^{ }$$

Question 6

Garatu ondorengo biderkadura nabarmen hau:

$$\left(a+b^3\right)^2$$

Accepted Answer

$$a^2+2ab^3+b^6$$

Answer

$$a^2+2ab^3+b^5$$

Answer

$$a^2+b^6$$

Answer

$$a^2+b^5$$

Question 7

Deskonposatu faktore komuna edota biderkadura nabarmenak erabiliz:

$$125-350a^2+245a^4$$

Accepted Answer

$$5\left(5-7a^2\right)^2$$

Answer

Ezin da

Answer

$$25\left(5-7a^2\right)^2$$

Answer

$$5\left(5-7a^2\right)\left(5+7a^2\right)$$

Question 8

Sinplifikatu:

$$\frac{b^2-2b+1}{b^4-1}$$

Accepted Answer

$$\frac{b-1}{b^3+b^2+b+1}$$

Answer

$$\frac{1}{b^2+1}$$

Answer

$$\frac{b-1}{b^2+1}$$

Answer

$$\frac{b+1}{b^2+1}$$

Question 9

Faktorizatu, eragin eta laburtu emaitza:

$$\frac{9x^2-4}{x^2-4}\cdot\frac{\left(x-2\right)^2}{3x-2}$$

Accepted Answer

$$\frac{3x^2-4x-4}{x+2}$$

Answer

$$\frac{1}{x+1}$$

Answer

$$\frac{3x+2}{x+2}$$

Answer

$$\frac{x-2}{x+2}$$

Question 10

Faktorizatu, eragin eta laburtu emaitza:

$$\frac{x-x^2}{1-x^2}+\frac{1+x}{x^2+2x+1}$$

Accepted Answer

1

Answer

$$\frac{-x^3+x}{\left(1+x^2\right)\left(1-x\right)}$$

Answer

$$\frac{-x^2+2x+1}{2x+2}$$

Answer

$$\frac{1}{1+x}$$

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