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)

$35.59 in pounds

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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