Polynomials 2.0.pptx
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Polynomials consist of terms with variables, coefficients, and exponents. They can be classified based on the number of terms as monomials, binomials, or trinomials. Operations like addition, subtraction, and multiplication can be performed on polynomials by combining like terms or distributing and multiplying each term.
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The document discusses polynomials and polynomial functions. It defines a polynomial as a sum of monomials, with a monomial being a variable or the product of a variable and real numbers with whole number exponents. It classifies polynomials by degree and number of terms, with examples of common types like linear, quadratic, and cubic polynomials. It also defines a polynomial function as a function represented by a polynomial, and discusses finding sums, differences, and writing polynomials in standard form.
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The document defines and provides examples of polynomials, monomials, binomials, trinomials, terms, coefficients, degrees of terms and polynomials, collecting like terms, and arranging polynomials in descending and ascending order. Specifically:
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Polynomials 2.0.pptx
- 1. Polynomials Reinier James A. Cuyos Math39
- 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?
- 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
- 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