The document explains the components of polynomials, including constants, variables, coefficients, and exponents. It covers the classification of polynomials into monomials, binomials, and trinomials, as well as methods for adding, subtracting, and multiplying them. Additionally, it emphasizes the importance of combining like terms in polynomial operations.

1. Polynomials
Reinier James A. Cuyos
ED11

2. Netiquette
Be Respectful
Be Polite
Keep microphones turned
off unless called

3. 2x 5x + 10
3x² - 9x + 6 4x³ - 5

4. Polynomials
What do you think are they?

5. Poly-nomials
Many

6. Poly-nomials
Terms

7. Polynomials
Many terms

8. 3x² - 9x + 6
A polynomial consists of a
constant, variables,
coefficients, and exponents

9. 3x² - 9x + 6
A polynomial consists of a
constant, variables,
coefficients, and exponents

10. 3x² - 9x + 6
A polynomial consists of a
constant, variables,
coefficients, and exponents

11. 3x² - 9x + 6
A polynomial consists of a
constant, variables,
coefficients, and exponents

12. 3x² - 9x + 6
A polynomial consists of a
constant, variables,
coefficients, and exponents

13. 3x² + 4x - 15
Constant: ?
Variables: ?
Coefficients: ?
Degree: ?

14. 2x 5x + 10
3x² - 9x + 6 4x³ - 5

15. 5x + 10
A. Binomial
B. Trinomial
C. Monomial

16. 3x² - 9x + 6
A. Trinomial
B. Monomial
C. Binomial

17. Polynomials have
other names
derived from how
each polynomial
functions as an
equation

18. Solving
Polynomials

19. Polynomial
formulae are
enclosed in
arithmetic

20. (3x + 5) + (2x²- 2x – 4)

21. (3x + 5) + (2x² - 2x – 4)

22. 2x² + 3x - 2x + 5 – 4

23. 2x² + x + 1

24. (3x + 5) - (2x²- 2x – 4)

25. (3x + 5) - (2x² - 2x – 4)

26. - 2x² + 3x + 2x + 5 + 4

27. - 2x² + 5x + 9

28. Combine like-terms
to add or subtract
polynomials

29. (3x + 2) x (2x² + x – 3)

30. (3x + 2) x (2x² + x – 3)

31. (3x + 2) x (2x² + x – 3)
6x³ + 3x² - 9x

32. (3x + 2) x (2x² + x – 3)
6x³ + 3x² - 9x

33. (3x + 2) x (2x² + x – 3)
6x³ + 3x² - 9x + 4x² + 2x – 6

34. 6x³ + 3x² - 9x + 4x² + 2x – 6

35. 6x³ + 3x² + 4x² - 9x + 2x – 6

36. 6x³ + 7x² - 7x – 6

37. (2x + 5) x (x – 4)

38. Each term, of each
polynomial, is
multiplied to each
term of the other
polynomial

39. In Summary
We’ve learned to distinguish the
different parts of a polynomial
We’ve learned how to perform
operations on polynomials