The value of 1.666.. in the form p/q is ?

15/9

Step-by-step explanation:

let the recurring decimal be (n)

we need to find a number that will subtract the number to remove the decimal

the nearest number is 16.666...

because the decimal has moved one step ahead, we will call the new number (10n)

16.666 - 1.666 = 15.

10n - n = 9n.

=15/9

(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