Question: A car drives a distance of 195 miles. The car uses petrol at a rate of about 4.1 miles per litre. The petrol cost £1.14 per litre. Estimate the cost of petrol for the journey. Explanation:

£54.26

Step-by-step explanation:

Distance travelled = 195 miles

Petrol comsumption

= 195 / 4.1 = 1950 / 41 = 47.6

Cost of petrol = 47.6 x 1.14 = 54.26

(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