00:01
So let me show you the long division where you put the thing you're dividing by, i believe that's called the divisor, 2x plus 1 over here, and then you have 4x cubed plus 2x squared minus 2x minus 5.
00:21
And my final answer is going to be at, well, at the top and the bottom.
00:26
But the first question you ask is what times 2x gives you 4x cubed? and that answer would be 2x squared.
00:35
Why? because as i distribute 2x squared to each of these pieces, 2 times 2 is 4, x squared times x is x cubed.
00:43
But then you also have to multiply that by 1.
00:48
And now you subtract off each of those pieces.
00:52
And it's not very often that as you subtract off, they both cancel.
00:56
And what you can do at this point is just bring down both the negative 2x and the negative 5.
01:01
And now it's the same question.
01:04
What times 2x will give you negative 2x? and i hope you would agree negative 1...