Write the interval notation represented by each description below: 1.
The set of all numbers less than negative ten.
2.
The set of all positive real numbers.
3.
The set of all numbers less than 4.242 and greater than 12.566.
4.
The set of all numbers that are greater than 15 and less than 50.
5.
The set of all numbers that are at most 5.
6.
The set of all numbers that are at least 18.

Thank you so much for your help!

1. (-∞ , -10]

2. [0, ∞ )

3. [12.566, 4.242]

4. [15, 50]

5. (-∞ , 5]

6. [18, ∞)

Step-by-step explanation:

1. The set of all numbers less than negative ten.

2. The set of all positive real numbers.

3. The set of all numbers less than 4.242 and greater than 12.566.

4. The set of all numbers that are greater than 15 and less than 50.

5. The set of all numbers that are at most 5.

6. The set of all numbers that are at least 18.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0