in example : 1 , step 2 : x - 20x should be = -19x but the answer u have written is -20x again so even the verification u have done is wrong as your divident is coming 10 x 4 + 8 x 3 – 7 x 2 + 79 rather it should be 10 x 4 + 8 x 3 – 7 x 2 + x + 79 isn't it ???
In the mentioned query the polynomial is 10x4 + 8x3 – 7x2 + 79 = 10x4 + 8x3 – 7x2 + 0x + 79
It is not x, it is 0x = 0 × x = 0
Thus, 0x - 20x = 0 -20x = -20x