Which of the following represents the factorization of the trinomial below? x^2+9x-22

(x+11)(x-2)

Step-by-step explanation:

To factorise: x^2+9x-22

You must first divide the centre term in such a way that the sum of the 2 values will be divisible by x squared and minus 22 respectively.

So x^2+9x-22 = x^2 -2x + 11x - 22.

Now factorize x^2 - 2x and 11x-22 individually.

x^2 - 2x = x(x-2)

11x - 22 = 11(x-2)

Since these both have the same value in the brackets, use 5at one of the brackets and the other is the combination of them together:

(x+11)(x-2)

Hope this helps

(x + 11)(x - 2)

Step-by-step explanation: Since the constant term is negative, it can be factored as a positive times a negative.

Before we do that however, an x will go in the first position

of each binomial because x² breaks down into x · x.

Remember, the factors of the constant term

must add to the coefficient of the middle term.

So let's list out the factors of -22.

Factors of -22

+22 · -1

-22 · +1

+11 · -2

-11 · +2

Looking at the list above, that pair

of factors that add 9 is +11 and -2.

So our answer therefore is (x + 11)(x - 2).

Note that if you wrote your answer

as (x - 2)(x + 11), it means the same thing.

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

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step-by-step explanation: