1
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Add: 5x squared plus 8x minus 3

2
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Plus 2x squared minus 7x plus 13x

3
00:00:08,847 --> 00:00:11,933
So we can really view this as just adding two polynomials.

4
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The second polynomial can be simplified right off of the bat.

5
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We have two like terms here. It's not the 2x squared. There's no other 2x squared term here in this

6
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polynomial.

7
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but you have a -7x term and then you have a +13x.

8
00:00:26,014 --> 00:00:28,398
So we can actually add these two terms.

9
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What is -7 of something plus 13 of that something?

10
00:00:32,133 --> 00:00:40,617
Or another way to view it. What is 13x minus 7x? 13 of that something minus 6 of that something?

11
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It's just going to be 6x. And then you have your 2x squared right over here.

12
00:00:50,327 --> 00:00:54,962
So this polynomial here simplifies to 2x squared plus 6x.

13
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And then we want to add it to this polynomial right over here.

14
00:00:57,702 --> 00:01:02,531
And what we can do is rewrite this polynomial under this polynomial.

15
00:01:02,531 --> 00:01:06,525
And I'm going to align the similar terms or the like terms.

16
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The terms that have the same variable raised to the same power.

17
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So we have x raised to the 2nd power, x raised to the 2nd power. So let's put the 5x squared over

18
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here

19
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We have an x raised to the 1st power, an x raised to the 1st power. So let's put the 8x over here.

20
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And then we don't have a constant term in the first, this yellow, polynomial.

21
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We don't have anything raised to the 0th power.

22
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Or an constant terms but we do here. So let's just put a minus 3.

23
00:01:32,114 --> 00:01:37,036
And then we can add these two things up. We have 2x squared plus 5x squared.

24
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That is 2 of something plus 5 of something is 7 of that something.

25
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So it's going to be 7x squared.

26
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And then to that if I have 6 of something and I add 8 of that something to it.

27
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I'm gonna have 14 of that something.

28
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If I have 6 x's and I give you 8 more x's, you're gonna have 14 x's.

29
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And then we have nothing here. So if we add nothing to -3, you're just going to have a -3.

30
00:02:04,983 --> 00:02:07,860
So this simplifies to 7x squared plus 14 x minus 3.