Mathematics, 04.08.2019 13:30 please1133

What is the factorization of the trinomial below? -2x^3 - 2x^2 + 12x a. 2x(x^2 + 3)(x + 2) b. -2x(x - 3)(x + 2) c. -2x(x + 3)(x + 2) d. -2x(x + 3)(x - 2)

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Answer from: triss6

-2x^3 - 2x^2 + 12x

= -2x (x^2 + x - 6)

= -2x(x + 3)(x - 2)

Its D

Answer from: jhernandez70

the correct option is

(D) -2x(x+3)(x-2).

Step-by-step explanation: We are given to find the factorization of the following trinomial :

T=-2x^3-2x^2+12x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

The factorization of the given trinomial (i) is as follows :

$T\\\\=-2x^3-2x^2+12x\\\\=-2x(x^2+x-6)\\\\=-2x(x^2+3x-2x-6)~~~~~~~~~~[\textup{the sum of 3 and -2 is 1 and product is -6}]\\\\=-2x(x(x+3)-2(x+3))\\\\=-2x(x+3)(x-2).$

Thus, the required factorization of the given trinomial is -2x(x+3)(x-2).

Option (D) is CORRECT.

Answer from: Quest

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring). so find the distance between (1,2) and (4,2). that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3. it is a regular polygon which means all sides are congruent. you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

Answer from: Quest

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf =

pf = 6,25 u

ver más en -

step-by-step explanation:

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