00:01
According to the question, we have to divide 2 xxq minus of 8 xx squared plus 3x minus 9 and x minus 4 using synthetic division.
00:21
Now there are two important things which we have to notice while solving this question using synthetic division.
00:27
First, the denominator expression is a linear polynomial having the leading coefficient.
00:33
As 1 see the coefficient of x is 1 if the coefficient of x is not 1 then there is another way of solving this question so at first what we have to do is we have to simply write the coefficients of the polynomial present in the numerator so let's do that so here we have 2 minus of 8 3 and minus of 9 now let's come to the denominator in the denominator in the denominator minus 4 is a very much important number.
01:09
Now here we have minus 4 so we have to find the negative of minus 4 which is plus 4 and we have to place it over here.
01:16
That's the first step of the process.
01:19
Now what we are going to do is we are going to simply shift 2 below it.
01:25
So here we have 2 and then we have to multiply 2 with 4.
01:29
2 multiplied by 4 will become 8 and it will come in this place.
01:34
Now we have to add 8 and minus 8.
01:36
8 and minus 8.
01:38
When added becomes 0, so here we have 0.
01:42
Now again we have to multiply 0 and 4, so 0 multiplied by 4 is nothing but 0...