00:01
Okay, this question is asking us to divide these polynomials.
00:04
However, i'm not sure if you really want to do long division or synthetic division.
00:10
Personal favorite synthetic division, but i'm going to show both just in case.
00:15
First on the right, i've set up the problem for long division.
00:19
How many? oh, wait, wait, wait, notice how i put in zeros.
00:23
What other kind of division you do, just like in long division, you have to keep track of your one's place, your tenths place, your hundred, place with polynomials that matters also.
00:33
So if there's any missing terms you add in a zero to leave a space, here we go.
00:39
How many times does y go into y cubed? i need y squared more to multiply.
00:46
And just like with regular division that you learned in elementary school, we go y squared times this polynomial.
00:53
It'll make y to the third plus y squared.
00:56
Now, i always like to change the color because we're going to subtract.
01:03
And it really helps me when i use a different color, otherwise i get confused.
01:07
Because now at this step, we subtract.
01:09
Why do the third? oh, shucks.
01:10
How did i do that? sorry, i zoomed.
01:13
Okay, y to the third minus y to the third makes zero.
01:16
And zero minus one is going to be a negative one y squared.
01:21
Bring down a term.
01:23
We do it again...