Mathematics, 30.08.2019 19:30 2Thea12Maine6

Divide (x^5+15x^4+54x^3-25x^2-75x-42) by x+8
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We want to evaluate
(x⁵ + 15x⁴ + 54x³ - 25x² - 75x - 42)/(x+8)

There are two ways to do it: (a) long division, and (b) synthetic division.

Long Division
x⁴ + 7x³ - 2x² - 9x - 3

x+8 | x⁵ + 15x⁴ + 54x³ - 25x² - 75x - 42
x⁵ + 8x⁴

7x⁴ + 54x³ - 25x² - 75x - 42
7x⁴ + 56x³

- 2x³ - 25x² - 75x - 42
- 2x³ - 16x²

- 9x² - 75x - 42
- 9x² - 72x

- 3x - 42
- 3x - 24

- 18

x⁴ + 7x³ - 2x² - 9x - 3 - 18/(x+8)

Synthetic Division

-8 | 1 15 54 -25 -75 -42
-8 -56 16 72 24

1 7 -2 -9 -3 -18

x⁴ + 7x³ - 2x² - 9x - 3 - 18/(x+8)

Answer from: Quest

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

Answer from: Quest

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

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