1 / 14

Polynomial Operations & Evaluation: Monomials, Polynomials, Adding, Subtracting

Learn about monomials and polynomials, how to evaluate them, and how to add and subtract polynomials. Includes examples and step-by-step explanations.

maeking
Download Presentation

Polynomial Operations & Evaluation: Monomials, Polynomials, Adding, Subtracting

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 138th Grade McDowell

  2. Polynomials 5/5 A real number, a variable, or a product and a real number and variable with whole number exponents monomial An expression without addition, subtraction---can’t divide by a variable Examples monomial Not a monomial 5 xy/2 -112a 3m³n² 7 - a xy/z 34 + b 4k-³

  3. You try Is the expression a monomial? • 5 + c • 7z/3 • 6ab² • 4g/h • -0.3y • 7 No Yes Yes No Yes Yes

  4. polynomial A monomial or the sum or difference of monomial(s) term The monomials that make up a polynomial

  5. You try Name the polynomial • 5c – 2 + a • 56 – x • 21 • 3x² + 2x • 7p² • ab – a + b Trinomial Binomial Monomial Binomial Monomial trinomial

  6. Evaluating polynomials Plug and Chug Evaluate the 3x for x = 5 3x Plug in the values 3(5) Chug out the answer following PEMDASLR 15 Evaluate gh³ + 4g - ½h for g = 10, h = 4 gh³ + 4g - ½h Plug in the values (10)(4)³ + 4(10) - ½(4) Chug out the answer following PEMDASLR (10)(64) + 4(10) - ½(4) 640 + 40 - 2 680 - 2 672

  7. You try Evaluate the expression for a = 2, b = -4 • 10a + b² - 7 • -4ab • a² - 2b - 3 • a - 3b • ab² + 5 • 2a

  8. Adding and Subtracting Polynomials 5/6 Like terms have the same variable and exponent or no variable at all Like terms Vertical Method Find like terms (4b² + 2b + 1) + (7b² + b – 3) Add like terms 11b² + b - 2

  9. Vertical Method (2y² - 9y – 15) + (6y² + 8y – 11) Line up like terms 2y² - 9y – 15 + 6y² + 8y – 11 Combine like terms 2y² - 9y – 15 + 6y² + 8y – 11 8y² - 1y - 26

  10. You Try Simplify each sum using any method • (x² + 3x + 1) + (x² + x + 6) • (5x² + 3x + 7) + (7x – 2) • x4 + 3x³ - x² + x – 2 + 7x³ + x² - 5x – 9 • xy + 5x – 2y + 4 +2xy – 3x – 3y - 8

  11. Subtraction Change subtraction to addition Change the sign of the 2nd number Remember the distributive property A negative outside parenthesis belongs to everything inside the parenthesis

  12. Vertical Method (-4x² + x – 1) – (x² - x + 8) Change, Change, Go (-4x² + x – 1) – (x² - x + 8) Distribute the negative sign (-4x² + x – 1) + (-x² + x - 8) Find like terms (-4x² + x – 1) + (-x² + x - 8) Combine like terms -5x² + 2x - 9

  13. Vertical Method x² - 3x – 9 -- 5x - 4 Change, Change, Go x² - 3x – 9 + -5x + 4 Distribute the negative sign x² - 3x – 9 + -5x + 4 Combine like terms x² - 8x - 5

  14. Find the difference • (ab – 4) – (3ab – 6) • (2x² + 3x – 7) – (x² - 6x – 9) • 3x² + x + 7 - 2x² + x + 2 • 6y – 8 - 2y + 7

More Related