1 00:00:00,000 --> 00:00:00,790 2 00:00:00,790 --> 00:00:05,520 Write a polynomial to express the total value of p $20 3 00:00:05,519 --> 00:00:15,109 bills, q $10 bills, and r $5 bills. 4 00:00:15,109 --> 00:00:18,179 So what's the value of p $20 bills? 5 00:00:18,179 --> 00:00:22,089 Well if I have p $20 bills, the value of each of those 6 00:00:22,089 --> 00:00:23,890 dollar bills is going to be $20. 7 00:00:23,890 --> 00:00:28,589 So the value all p of them is going to be 20p. 8 00:00:28,589 --> 00:00:32,298 If I have one $20 bill, it's $20. 9 00:00:32,298 --> 00:00:36,170 If I have three $20 bills, if p is 3, it's going to be $60. 10 00:00:36,170 --> 00:00:37,649 Actually, let me do that in the same color as 11 00:00:37,649 --> 00:00:38,420 I underlined it. 12 00:00:38,420 --> 00:00:39,630 I underlined it in yellow. 13 00:00:39,630 --> 00:00:42,040 So let me do the p $20 bills. 14 00:00:42,039 --> 00:00:45,640 So 20p is the p $20 bills. 15 00:00:45,640 --> 00:00:49,100 Then you have your q $10 bills. 16 00:00:49,100 --> 00:00:50,259 So what's the value of those? 17 00:00:50,259 --> 00:00:52,489 Well it's going to be 10q. 18 00:00:52,490 --> 00:00:55,100 If I have one $10 bill, it's worth $10. 19 00:00:55,100 --> 00:00:57,410 If I have ten $10 bills, if q is 10, this is going to be 20 00:00:57,409 --> 00:00:59,559 worth 10 times 10. $100. 21 00:00:59,560 --> 00:01:02,480 And then finally you have your r $5 bills, which are going to 22 00:01:02,479 --> 00:01:04,829 be worth 5r dollars. 23 00:01:04,829 --> 00:01:07,120 One $5 bill, worth $5. 24 00:01:07,120 --> 00:01:09,790 Two $5 bills, worth $10. 25 00:01:09,790 --> 00:01:10,609 And we're done. 26 00:01:10,609 --> 00:01:13,239 We've expressed it as a polynomial. 27 00:01:13,239 --> 00:01:16,089 Polynomial just means that we have multiple terms here and 28 00:01:16,090 --> 00:01:18,760 this is three terms. We could even call it a trinomial. 29 00:01:18,760 --> 00:01:22,700 Polynomial is a more general term for more than one term. 30 00:01:22,700 --> 00:01:23,332