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Similaire à Polynomials Add And Subtract Ch 9.1
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Polynomials Add And Subtract Ch 9.1
- 1. Polynomials
- 3. Vocabulary Monomial: A number, a variable or the product of a number and one or more variables. Polynomial: A monomial or a sum of monomials. Binomial: A polynomial with exactly two terms. Trinomial: A polynomial with exactly three terms. Coefficient: A numerical factor in a term of an algebraic expression.
- 4. Vocabulary Degree of a monomial: The sum of the exponents of all of the variables in the monomial. Degree of a polynomial in one variable: The largest exponent of that variable. Standard form: When the terms of a polynomial are arranged from the largest exponent to the smallest exponent in decreasing order.
- 7. Classify the polynomials by degree and number of terms. Examples Polynomial a. b. c. d. Degree Number of Terms Classify by number of terms Zero 1 Monomial First 2 Binomial Second 2 Binomial Third 3 Trinomial
- 9. Examples Write the polynomials in standard form. Remember: The lead coefficient should be positive in standard form. To do this, multiply the polynomial by –1 using the distributive property.
- 10. Practice Write the polynomials in standard form and identify the polynomial by degree and number of terms. 1. 2.
- 11. Problem 1 This is a trinomial. The trinomial’s degree is 3.
- 12. Problem 2 This is a 2 nd degree, or quadratic, trinomial.
- 14. Add Like Terms + 2x 2 + 3x + 2 x 2 + x + 1 = 3x 2 + 4x +3 Or you could add the trinomials in a column
- 15. Just like adding like-terms + 2x 2 + 3x + 2 x 2 + x + 1 3x 2 + 4x +3 Start with the trinomials in a column + 2x 2 + 3x + 2 Combine the trinomials going down
- 17. (3x 2 +5x) + (4 -6x -2x 2 ) 3x 2 +5x -2x 2 -6x + 4 + 0 x 2 -x + 4 It might be helpful to use a zero as a placeholder.
- 18. Find the difference - (3x 2 - 2x + 3) x 2 + 2x - 4 -2x 2 + 4x - 7 Start with the trinomials in a column - (3x 2 - 2x + 3) The negative sign outside of the parentheses is really a negative 1 that is multiplied by all the terms inside. - 3x 2 + 2x - 3)
- 19. Try One. - (10x 2 + 3x + 2) 12x 2 +5x + 11 2x 2 + 2x + 9 Reminder: Start with the trinomials in a column - (10x 2 + 3x + 2) The negative sign outside of the parentheses is really a negative 1 that is multiplied by all the terms inside. - 10x 2 - 3x - 2
- 20. Special Thanks to Public Television Station KLVX for the basic outline of the first 12 slides of this presentation