Which shows one way to determine the factors of x^3+5x^2-6x-30 by grouping?

The factors of this equation are x = sqrt(6), x = -sqrt(6) and x = -5.

In order to find these by grouping, we start by just taking the first two terms. We then pull out the greatest common factor.

x^2 + 5x^2

x^2(x + 5)

Now we do the same for the last two.

-6x - 30

-6(x + 5)

Since the two parenthesis left behind are exactly the same, we can use them along with the factors pulled out, multiplied together.

(x^2 - 6)(x + 5)

Now to find the factors, we simply set both parenthesis separately equal to 0.

x + 5 = 0

x = -5

x^2 - 6 = 0

x^2 = 6

x = +/-sqrt(6)

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.