Quiz about Prodotti notevoli

Question 1

Come si scompone il polinomio $$4a^2+b^2c^4+16g^2-16ag-4abc^2+8bc^2g$$ ?

Accepted Answer

$$\left(-2a+bc^2+4g\right)^2$$

Answer

$$\left(2g+abc\right)^3$$

Answer

$$\left(-2a+bc+4g\right)^2$$

Question 2

Come si definisce il seguente polinomio? $$a^2+b^2+ab$$

Accepted Answer

Falso quadrato

Answer

Falso binomio

Answer

Quadrato vero

Answer

Cubo falso

Question 3

VERO O FALSO? $$2x^2-2y^2-x^4+x^2y^2=\left(y^2-x^2\right)\left(x^2-2\right)$$

Accepted Answer

VERO

Answer

FALSO

Question 4

I polinomi $$x^2+3x-7$$ e $$x^2+x-6$$ hanno un fattore in comune, quale?

Accepted Answer

$$x-2$$

Answer

$$x+3$$

Answer

$$x+2$$

Answer

$$x$$

Question 5

Calcola il mcm e il MCD dei seguenti polinomi:

$$4a^2b^3+8ab^3$$ $$4a^2b^2-16b^2$$ $$8a^2b^3+32ab^3+32b^3$$

Accepted Answer

$$MCD=4b^2\left(a+2\right)\ \ \ $$ $$mcm=8ab^3\left(a+2\right)^2\left(a-2\right)$$

Answer

$$MCD=4b^2\left(a+2\right)\ \ \ \ $$ $$mcm=8a^2b^2\left(a+2\right)\left(a-2\right)$$

Question 6

Per quali valori di a il polinomio perde valore?

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

Accepted Answer

$$a=-3;\ a\ =2;\ a=0$$

Answer

$$a=3;\ a=-2;\ a\ =0$$

Answer

$$a
e0$$

Question 7

Come si scompone il polinomio $$c^4+c^3-2c^2+2-8$$ utilizzando la regola di Ruffini?

Accepted Answer

$$\left(c+2\right)\left(c^3-c^2+2\right)$$

Answer

$$c^3-c^2+2$$

Answer

$$\left(c-2\right)\left(c^3-c^2+2\right)$$

Question 8

Quale polinomio rappresenta l'aria di questo quadrato?

Accepted Answer

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

Answer

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

Answer

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

Answer

$$x^2+25$$

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