00:03
All right, in this problem, we are going to divide 3x cubed minus 4x squared plus 5 by x minus 3 halves.
00:20
So remembering that when we divide a polynomial, we're dividing by something in the form of x minus c.
00:26
So in this case, the c is the negative, or excuse me, the c is the three halves.
00:31
So when we set this up synthetically, the c goes off to the.
00:35
Left.
00:35
So in this case, three halves goes off to the left there.
00:39
And then we want to list out the coefficients that are in our numerator, which is going to be 3x to the third power, minus 4x squared.
00:54
So we need the negative 4.
00:55
And there's technically not an x term.
00:57
So i'm going to put a zero here as a placeholder.
01:00
And then we're going to have five.
01:02
And then the next thing we have to do, the first thing we do, now that we have this set up is we bring down the three.
01:12
And at this point, three halves times three will be nine halves, and we wish to add...