Quiz about Prueba sobre factorización de trinomios y demás

Question 1

El resultado de factorizar el siguiente trinomio $$x^2+4x+4$$ es:

Accepted Answer

$$\left(x+2\right)^2$$

Answer

$$\left(x-2\right)\left(x+2\right)$$

Answer

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

Answer

$$\left(x-2\right)\left(x-2\right)$$

Question 2

El resultado de factorizar el trinomio $$x^2-x-2$$ es:

Accepted Answer

$$\left(x-2\right)\left(x+1\right)$$

Answer

$$\left(x-2\right)\left(x-1\right)$$

Answer

$$\left(x-1\right)\left(x+2\right)$$

Answer

$$\left(x-9\right)$$

Question 3

El resultado de factorizar $$x^2-4$$ es:

Accepted Answer

$$\left(x-2\right)\left(x+2\right)$$

Answer

$$\left(x+2\right)^2$$

Answer

$$\left(x-2\right)\left(x-2\right)$$

Answer

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

Question 4

El resultado de factorizar el trinomio $$x^2-8x+15$$ es:

Accepted Answer

$$\left(x-5\right)\left(x-3\right)$$

Answer

$$Ninguna\ es\ la\ correcta$$

Answer

$$\left(x+5\right)\left(x-6\right)$$

Answer

$$\left(x+5\right)\left(x-3\right)$$

Question 5

El resultado de factorizar el trinomio $$5x^2-20x+15$$ es:

Accepted Answer

$$\left(5x-5\right)\left(x-3\right)$$

Answer

$$\left(5x-5\right)\left(x+3\right)$$

Answer

$$\left(5x+5\right)\left(x+3\right)$$

Answer

$$\left(x-1\right)\left(x-3\right)$$

Question 6

El resultado de factorizar el trinomio $$3x^2-x-10$$ es:

Accepted Answer

$$\left(3x+5\right)\left(x-2\right)$$

Answer

$$\left(x-3\right)\left(3x+5\right)$$

Answer

$$\left(5x+3\right)\left(x-2\right)$$

Answer

$$\left(x-5\right)^2$$

Question 7

El resultado de factorizar el trinomio $$x^2-10x+25$$ es:

Accepted Answer

$$\left(x-5\right)\left(x-5\right)$$

Answer

$$\left(x+5\right)^2$$

Answer

$$\left(x+5\right)\left(x-5\right)$$

Answer

$$\left(x-6\right)^2$$

Question 8

El resultado de factorizar el trinomio $$10x^2-18x+8$$ es:

Accepted Answer

$$\left(2x-2\right)\left(5x-4\right)$$

Answer

$$\left(2x-2\right)\left(8x-4\right)$$

Answer

$$\left(2x+2\right)\left(5x+4\right)$$

Answer

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

Question 9

Para factorizar la suma de cubos $$a^3+b^3$$ se utiliza:

Accepted Answer

$$\left(a+b\right)\left(a^2-ab+b^2\right)$$

Answer

$$\left(a-b\right)\left(a^2+ab+b^2\right)$$

Answer

$$\left(a+b\right)\left(a-ab+b^2\right)$$

Answer

$$\left(a+b\right)\left(a-b\right)$$

Question 10

El resultado de factorizar $$27x^3+8y^3$$ es:

Accepted Answer

$$\left(3x+2y\right)\left(9x^2-6xy+4y^2\right)$$

Answer

$$\left(3x-2y\right)\left(9x^2+6xy+4y^2\right)$$

Answer

$$\left(2y-3x\right)\left(9x^2+6xy+4y^2\right)$$

Answer

Ninguna es correcta.

Question 11

$$x=3$$ es un cero racional del polinomio:

Accepted Answer

$$2x^3-2x^2-18x+18$$

Answer

$$-2x^2-2x+18$$

Answer

$$2x^3-2x^2-18x-18$$

Answer

$$2x^3-x^2-18x+18$$

Answer

$$2x^3-2x^2+18x+18$$

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