1 / 11

Explaining Rules of Exponents and Adding/Subtracting Polynomials

Learn the rules of exponents and how to add/subtract polynomials. Understand terms, coefficients, degrees, and standard form. Solve real-life polynomial problems.

grochelle
Télécharger la présentation

Explaining Rules of Exponents and Adding/Subtracting Polynomials

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. Do Now:Journal Explaineach of the followingrules of exponents: Product of Powers Quotient of Powers Power of Powers ZeroExponent

  2. January 25, 2013Adding and Subtracting Polynomials Essential Question: How can I use Polynomials to represent real life situations?

  3. Vocabulary Polynomial – sum of terms in the form of axk where k is a nonnegtive integer. Example – 2x3 + 5x2 -4x + 7 Standard Form – Terms are placed in descending order from largest degree to smallest degree Degree – the degree of each term of a polynomial is the exponent of the variable. Leading Coefficient – When written in its standard form, the coefficient of the first term.

  4. Identify Polynomial Coefficients -4x2 + x3 + 3 Write the Polynomial in standard form. (Account for eachdegree) THIS SHOULD BE WRITTEN: X3 - 4x2 + 3

  5. POLYNOMIALS MONOMIAL – POLYNOMIAL WITH ONE TERM ( -2X) BINOMIAL – POLYNOMIAL WITH TWO TERMS (3X + 1) TRINOMIAL – POLYNOMIAL WITH THREE TERMS (X2 + 2X + 6)

  6. Classifying Polynomials by Degree

  7. ADDING POLYNOMIALS: LETS REMEMBER LIKE TERMS WE CAN ONLY ADD TERMS WITH LIKE VARIABLES AND LIKE COEFICIENTS

  8. Adding Polynomials Find the sum. Write the answer in standard form. (5x3– x + 2 x2 + 7) + (3x2 + 7 – 4x) + (4x2 – 8 – x3) Vertical Format: Write each expression in standard form. Align like terms. 5x3 + 2x2 – x + 7 3x2 – 4x + 7 -x3 + 4x2 - 8 4x3 + 9x2 – 5x + 6

  9. Subtracting Polynomials Find the difference. (x2 – 8) – (7x + 4x2) Vertical Format: To subtract, you add the opposite. You can multiply each term in the subtracted polynomial by -1 and add. (X2 – 8) x2 -8 -(7x + 4x2) + -4x2 -7x_____ - 3x2 - 7x - 8

  10. Using Polynomials in Real Life You are enlarging a 5 inch by 7 inch photo by a scale facto of x and mountingit on a mat. You want the mat to betwice as wide as the enlarged photo and 2 incheslessthantwice as high as the enlarged photo. • Draw a digram to represent the described situation. • Write a model for the area of the mat around the photograph as a function of the scale factor.

  11. Using Polynomials in Real Life Thedimensions of the photo are enlarged by a scale factor of x 7x 14x -2 5x 10x

More Related