1
00:00:00,000 --> 00:00:00,600


2
00:00:00,600 --> 00:00:05,239
Simplify 16x plus 14 minus this entire quantity 3x

3
00:00:05,240 --> 00:00:07,679
squared plus x minus 9.

4
00:00:07,679 --> 00:00:09,910
So let me just rewrite it and I'll get rid of some of the

5
00:00:09,910 --> 00:00:10,906
parentheses if we can.

6
00:00:10,906 --> 00:00:13,360
So we have this 16x right here.

7
00:00:13,359 --> 00:00:18,169
16x plus 14.

8
00:00:18,170 --> 00:00:20,110
we don't have to have those parentheses, it doesn't change

9
00:00:20,109 --> 00:00:21,629
the order of operations.

10
00:00:21,629 --> 00:00:24,079
And then we can subtract from that.

11
00:00:24,079 --> 00:00:26,149
Well, we can just distribute this negative sign.

12
00:00:26,149 --> 00:00:28,019
So instead of having a positive 3x squared, if we

13
00:00:28,019 --> 00:00:29,390
multiply it times this negative 1,

14
00:00:29,390 --> 00:00:32,240
it is minus 3x squared.

15
00:00:32,240 --> 00:00:34,530
That's that term right over there.

16
00:00:34,530 --> 00:00:36,859
And then you have this x over here.

17
00:00:36,859 --> 00:00:39,490
It's a positive x, but it's being multiplied by this

18
00:00:39,490 --> 00:00:40,510
negative 1 out here.

19
00:00:40,509 --> 00:00:42,899
So it is minus x.

20
00:00:42,899 --> 00:00:46,600
And then finally, you have this negative 9 out here, but

21
00:00:46,600 --> 00:00:49,289
it's being multiplied by a negative 1 out in front of the

22
00:00:49,289 --> 00:00:50,530
parentheses, so a negative times a

23
00:00:50,530 --> 00:00:52,039
negative is a positive.

24
00:00:52,039 --> 00:00:53,750
So plus 9.

25
00:00:53,750 --> 00:00:56,929
And so now we can just combine terms that have the same

26
00:00:56,929 --> 00:00:58,460
degree of x in them.

27
00:00:58,460 --> 00:01:00,179
And I'll start with the highest degree term.

28
00:01:00,179 --> 00:01:01,579
The highest degree term right here.

29
00:01:01,579 --> 00:01:03,509
And the degree just means x raised

30
00:01:03,509 --> 00:01:05,030
to the highest exponent.

31
00:01:05,030 --> 00:01:07,670
The highest degree term here is negative 3x squared.

32
00:01:07,670 --> 00:01:09,600
It's the second degree term.

33
00:01:09,599 --> 00:01:11,929
x is being raised to the second power.

34
00:01:11,930 --> 00:01:14,650
So I'll just write here, negative 3x squared.

35
00:01:14,650 --> 00:01:16,130
It's the only when we have.

36
00:01:16,129 --> 00:01:20,549
Then we have the x terms. We have 16x minus x.

37
00:01:20,549 --> 00:01:23,200
So if you have 16 of something and you subtract 1 away from

38
00:01:23,200 --> 00:01:25,180
it, you're going to have 15x.

39
00:01:25,180 --> 00:01:28,090
So plus 15x.

40
00:01:28,090 --> 00:01:31,000
And then finally, you have your constant terms. 14 and

41
00:01:31,000 --> 00:01:32,200
then you have plus 9.

42
00:01:32,200 --> 00:01:34,870
So 14 plus 9 is 23.

43
00:01:34,870 --> 00:01:36,480
Plus 23.

44
00:01:36,480 --> 00:01:38,200
And we are all done.

45
00:01:38,200 --> 00:01:41,380
We've simplified the polynomial.

46
00:01:41,379 --> 00:01:43,066