14 metric system conversion. convert 26.2 miles into kilometers and round to the nearest tenth. (hint: 1 mile= 1.609 km)

42.1558 km

Step-by-step explanation:

We know that 1 mile = 1,609 km

Then use this data as a conversion factor.

If we want to transform miles to kilometers then our conversion factor should be:

Now we must multiply the number of miles by this factori and thus we obtain the equivalent in kilometers

(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