1 / 9

Polynomial Operations Explained: Addition and Subtraction

Understand polynomials with examples. Learn about monomials, binomials, trinomials, degrees, and order. Practice adding and subtracting polynomials. Answers provided for practice questions.

arliner
Download Presentation

Polynomial Operations Explained: Addition and Subtraction

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. Addition / Subtraction of Polynomials Chapter 7.1

  2. What are Polynomials? • A polynomial is an expression in which the terms are monomials. • Monomial: number, variable or a product of a number and variable. e.g. 6, a, 6a, 13xy2 • Binomial: polynomial with two terms. e.g. 3x+4 • Trinomial: polynomial with 3 terms. x2+4x-1 • A Polynomial that has four or more terms is referred to as a “Polynomial.”

  3. Polynomials - Degrees & Order • The degree of a polynomial is the monomial with the highest exponent. The degree of 4x3+5x2+3x+4 is 3 The degree of 7x4+x3+11x+4 is 4 Polynomials are written in descending order, the highest degree is first, the second highest degree next …

  4. Adding Polynomials • Recall: it is only possible to add like terms. • Add (4x3+5x2+9x+4) + (3x5+x2+3x-13) • 4x3+ 5x2 +9x + 4 +3x5+ x2+ 3x -13 3x5+4x3+6x2+12x -9

  5. Add (14x3-11x2+9x+11) +(-4x3+18x2-21x-17) • 14x3 -11x2 + 9x +11 • + -4x3 +18x2 -21x -17 • 10x3 +7x2 -12x -6

  6. Subtracting Polynomials • Subtract (8x3+25x2+19x+7) - (4x3+9x-4) • The negative sign is distributed and the polynomials are added. • (8x3+25x2+19x+7)+ (-4x3-9x+4) • 8x3+25x2+19x+7 • + -4x3 -9x+4 • 4x3+25x2+10x+11

  7. Subtract (8x3+2x2y+x+7)– (x3+5x2+9xy+7) • The negative sign is distributed and the polynomials are added. • (8x3+2x2y+x+7)+(-x3-5x2 -9xy -7) • 8x3+2x2y +x+7 • + -x3 -5x2 -9xy -7 • 7x3+2x2y-5x2 -9xy +x+0

  8. Now You Try • 1. (x3-5x2+9x+7) + (4x3+7x2+3x-4) • 2. (8x3+19x+7) - (4x3+10x -4) • 3. (5x3-2x2+19x+7) + (13x3-15x2+x-27) • 4. (25x2+19x+7) - (-14x2+19x-4)

  9. Answers • 1. 5x3+2x2+12x+3 • 2. 4x3+9x+11 • 3. 18x3-17x2+20x-20 • 4. 39x2+11

More Related