2. find the value of x and each angle.

Step-by-step explanation:

We have 2 angles that equal to 180, x and (x - 26).

Therefore:

x + (x - 26) = 180

Remember, when doing algebraic equations, we are doing PEMDAS backwards.

Simplify:

x + x - 26 = 180

Combine Like Terms:

2x - 26 = 180

Add:

2x = 206

Divide:

x = 103.

Proof:

(103) + (103 - 26) = 180

180 = 180

(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