This lesson aims to teach students how to identify components of polynomial long division, including the dividend, divisor, quotient, and remainder, as well as how to determine whether an expression is a polynomial. It provides examples of dividing polynomials in one variable and teaches students how to arrange numbers in descending order. The document emphasizes practical application through multiple examples of polynomial division.

2. AT THE END OF THIS LESSON, THE STUDENTS WOULD BE ABLE TO :
Identify the dividend, divisor,
quotient and remainder in
polynomials long division problems
divide polynomial in one variable
using Long Division

3. Identify whether each algebraic expression is a Polynomial or Not
Polynomial.

4. Find each product.

9. Example 1 Divide 𝑥2
+ 4𝑥 − 21 𝑏𝑦 𝑥 − 3

10. Example 1 Divide 𝑥2
+ 4𝑥 − 21 𝑏𝑦 𝑥 − 3

11. Example 1 Divide 𝑥2
+ 4𝑥 − 21 𝑏𝑦 𝑥 − 3

12. Example 1 Divide 𝑥2
+ 4𝑥 − 21 𝑏𝑦 𝑥 − 3

13. Example 2 Divide 𝑥3
+ 6𝑥2
+ 13𝑥 + 12 𝑏𝑦 𝑥 − 3

14. Example 2 Divide 𝑥3
+ 6𝑥2
+ 13𝑥 + 12 𝑏𝑦 𝑥 − 3

15. Example 2 Divide 𝑥3
+ 6𝑥2
+ 13𝑥 + 12 𝑏𝑦 𝑥 − 3

16. Example 2 Divide 𝑥3
+ 6𝑥2
+ 13𝑥 + 12 𝑏𝑦 𝑥 − 3

17. Example 2 Divide 𝑥3
+ 6𝑥2
+ 13𝑥 + 12 𝑏𝑦 𝑥 − 3

18. Example 2 Divide 𝑥3
+ 6𝑥2
+ 13𝑥 + 12 𝑏𝑦 𝑥 − 3

19. Example 2 Divide 𝑥3
+ 6𝑥2
+ 13𝑥 + 12 𝑏𝑦 𝑥 − 3

37. 50,000
1,850,000 150,200 75,000
1,850isthebiggestnumber. Itisinthefirstposition.
50,000isthesmallestnumber. Itisinthelastposition.
Wewritethenumbersinthedecreasingorderas
follows:
Towritenumbersindescendingorder,wearrangethemfrombiggesttosmallest.

38. Elementary Math