➕

Polynomials & Rational Expressions

78 cards · 🇺🇸 English

Polynomial terms, degree, operations and simplifying rational expressions.

algebrapolynomialsrational-expressions

Study all 78 cards for free

Flashcards, quizzes, pixel-art games and a daily review that remembers for you.

Study this deck free

Try the first 10 cards

1 / 10
Question

Polynomial

Knew itLearning

Tap the card for the answer · swipe right if you knew it, left if not

Already have an account? Sign in

Cards

  1. 1Polynomial
    A mathematical expression consisting of variables and coefficients, using only addition, subtraction, multiplication, and non-negative integer exponents
  2. 2Example of a polynomial
    3x² + 2x - 5, or x³ - 4x + 7
  3. 3the word 'polynomial'
    From Greek 'poly' (many) + Latin 'nomen' (name), meaning a sum of many terms (monomials)
  4. 4Term in a polynomial
    A product of a coefficient and variables raised to non-negative integer powers (e.g., 5x³)
  5. 5Coefficient
    The numerical factor in a term (e.g., in 5x³, the coefficient is 5)
  6. 6Indeterminate
    A variable (like x) that represents no particular value but can have values substituted into it
  7. 7Degree of a term
    The sum of the exponents of all variables in that term
  8. 8Degree of a polynomial
    The largest degree of any term with a nonzero coefficient
  9. 9Degree of 5x³ + 2x² - 7
    3 (the highest exponent)
  10. 10Constant term
    A term with no variables (e.g., -7 in 5x³ + 2x² - 7)
  11. 11Constant polynomial
    A polynomial with no variables, just a constant (e.g., 5)
  12. 12Degree of a nonzero constant
    0 (zero)
  13. 13Degree of the zero polynomial
    Undefined (or defined as negative: -1 or -∞)
  14. 14Monomial
    A polynomial with one term (e.g., 5x³)
  15. 15Binomial
    A polynomial with two terms (e.g., x² + 3)
  16. 16Trinomial
    A polynomial with three terms (e.g., x² + 5x - 6)
  17. 17Multinomial
    A polynomial with two or more terms
  18. 18Linear polynomial
    A polynomial of degree 1 (e.g., 2x + 3)
  19. 19Quadratic polynomial
    A polynomial of degree 2 (e.g., x² - 4x + 4)
  20. 20Cubic polynomial
    A polynomial of degree 3 (e.g., x³ + 2x² - x + 1)
  21. 21Quartic polynomial
    A polynomial of degree 4
  22. 22Quintic polynomial
    A polynomial of degree 5
  23. 23Univariate polynomial
    A polynomial in one variable (e.g., x³ + 2x - 1)
  24. 24Multivariate polynomial
    A polynomial in more than one variable (e.g., x²y + 3xy - 2)
  25. 25Bivariate polynomial
    A polynomial with two variables (e.g., x² + xy + y²)
  26. 26Add polynomials
    Combine like terms (terms with the same variables and exponents)
  27. 27Add (3x² + 2x - 1) + (x² - 5x + 4)
    4x² - 3x + 3
  28. 28Subtract polynomials
    Distribute the negative sign and combine like terms
  29. 29Multiply two polynomials
    Multiply each term of one polynomial by every term of the other (distributive law)
  30. 30Multiply (x + 2)(x + 3)
    x² + 5x + 6 (using FOIL or distribution)

And 48 more cards. Study the whole deck free

Articles about this deck

More Mathematics decks

See all
Study all 78 cards free