00:01
So here for this problem, we are dividing 3x cubed minus x squared plus x minus 2 by x plus 2.
00:09
So first thing we need to check is that the polynomial that we're dividing by is in standard form.
00:18
So when we look at that, we have a cube, a squared, a single term, and a constant.
00:23
So yes, it's in standard form, and we can divide by it.
00:26
The next thing we need to do is see how many times this x term goes into the leading term of the polynomial we're dividing by.
00:34
So it can go into this 3x cubed, 3x squared times.
00:42
The next step of the long division is we need to multiply this 3x squared by every term in our divisor.
00:47
3x squared times x is 3x cubed.
00:52
3x squared times this 2 term would be a 6x squared.
01:02
And then we need to subtract those terms.
01:06
So 3x cube minus 3x squared is 0, so we can leave that out...