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## Algebra (all content)

### Course: Algebra (all content)>Unit 10

Lesson 9: Polynomials word problems

# Polynomial word problem: total value of bills

Sal writes a polynomial to express the total value of p twenty dollar bills, q ten dollar bills, and r five dollar bills. Created by Sal Khan and Monterey Institute for Technology and Education.

## Video transcript

Write a polynomial to express the total value of p \$20 bills, q \$10 bills, and r \$5 bills. So what's the value of p \$20 bills? Well if I have p \$20 bills, the value of each of those dollar bills is going to be \$20. So the value all p of them is going to be 20p. If I have one \$20 bill, it's \$20. If I have three \$20 bills, if p is 3, it's going to be \$60. Actually, let me do that in the same color as I underlined it. I underlined it in yellow. So let me do the p \$20 bills. So 20p is the p \$20 bills. Then you have your q \$10 bills. So what's the value of those? Well it's going to be 10q. If I have one \$10 bill, it's worth \$10. If I have ten \$10 bills, if q is 10, this is going to be worth 10 times 10. \$100. And then finally you have your r \$5 bills, which are going to be worth 5r dollars. One \$5 bill, worth \$5. Two \$5 bills, worth \$10. And we're done. We've expressed it as a polynomial. Polynomial just means that we have multiple terms here and this is three terms. We could even call it a trinomial. Polynomial is a more general term for more than one term.