Adding and Subtracting Polynomials - ALEX

Like Terms, I Add Them Adding Polynomials Like terms are terms that contain the same variables, with corresponding variables having the same power. Example: 3x2+4x+x2-2 The like terms in this expression are:

3x 2 and x 2 Copy down the following expressions and circle the like terms. 1. 7x2+8x-2y+8-6x 2. 3x-2y+4x2-y

3. 6y+y2-3+2y2-4y3 Check your answers. 1. 7x2+8x-2y+8-6x 2. 3x-2y+4x2-y 3. 6y+y2-3+2y2-4y3

To simplify these expressions, you should combine these like terms by adding their coefficients. Rewrite the equations with the like terms combined.

Check your answers. 1. 7x2+8x-2y+86x 2. 3x-2y+4x2-y 3. 6y+y2-3+2y24y3 When adding polynomials, you also combine

like terms. (2x2+3x-4) + (4x2+4x+8) You may add these polynomials vertically. Write each polynomial on a separate line, thus keeping them separate without using parentheses. Put like terms beneath each

other, even if to do so you must rearrange the terms of a polygon. 2x2+3x-4 4x2+4x+8 Then combine the like terms. 2x2+3x-4

4x2+4x+8 6x2+7x+4 Or you may do this horizontally by writing the polynomial without the parentheses on one line.

2x2+3x-4+4x2+4x+8 Then combine the like terms. 2x2+3x-4+4x2+4x+8 6x2+7x+4

Work these on your paper using both methods. 1. (3x2+3x+3) + (4x22x+1) 2. (y2-8y+10) + (3y2+8y+10) 3. (3a3+7a-1) + (3a2+3a4)

Check your answers. The horizontal method. 1. 3x2+3x+3 + 4x2-2x+1 2

7x x 4 The vertical method. 3x2+3x+3 4x2- 2x+1

2 7x x 4 The horizontal method.

2. y2-8y+10 + 3y2+8y+10 2 4y 20

The vertical method. y2-8y+10 3y2+8y+10 2

4y 20 The horizontal method.

3. (3a3+7a-1) + (3a2+3a-4) 3a3+3a2+10a-5 The vertical method.

3a3 +7a-1 3a2 +3a-4 3a3+3a2+10a-5

Recently Viewed Presentations

  • Externally Tested Scan Circuit with Built-In Activity Monitor

    Externally Tested Scan Circuit with Built-In Activity Monitor

    High circuit activity during test leads to functional slowdown and high test power dissipation: Peak power - Large IR drop in power distribution lines. Voltage droop and ground bounce (power supply noise) Reduced voltage slows the gates down (delay fault)...
  • Camera Sensors - We are SMPTE

    Camera Sensors - We are SMPTE

    * The Bayer Pattern is probably the most widely used type of imaging chip for digital cameras, including consumer still-image cameras. Here we have an example of the Mosaic tiled pattern of single color pixels (photo-sites) from a Bayer pattern...
  • How We Think Throughout Our Lives How We

    How We Think Throughout Our Lives How We

    Kohlberg's levels of moral reasoning applied to the Heinz/druggist dilemma . Stage one (obedience): Heinz should not steal the medicine because he would consequently be put in prison, which would mean he is a bad person. Or: Heinz should steal...
  • Yin & Yang By Logan Edwards What is

    Yin & Yang By Logan Edwards What is

    Taoism and Confucianism. Chinese philosophy. Chinese science. Meditation. Anything involving Chi/Qi movement, circulation, and transformation. Martial arts. Feng Shui. In prayer. As a balancing amulet. Yin Yang & Food . Yin Yang in Chinese Medicine.
  • Chapter 5 Greek Civilization Section 1: The Culture

    Chapter 5 Greek Civilization Section 1: The Culture

    A fable is a short tale that teaches a lesson. In most of Aesop's fables, animals talk and act like people. These often funny stories point out human flaws as well as strengths. Each fable ends with a message, or...
  • Institutional Racism in Child Welfare

    Institutional Racism in Child Welfare

    But lowest rates of child abuse are in kin care Implications Need to place higher priority on family preservation and reunification Need to provide more equitable financial and social support to kin caregivers Need federal subsidized guardianship law Need to...
  • Warm-up 1. How much credit does Ronald Regan

    Warm-up 1. How much credit does Ronald Regan

    Why did crises like the Cuban Missile Crisis, the Vietnam War, or the Berlin Wall crisis not develop into war? How much credit does Ronald Regan deserve his legacy as the man who brought down the Soviet Union? What reforms...
  • Engineering Using the Distance Formula

    Engineering Using the Distance Formula

    ENGINEERING USING THE DISTANCE FORMULA What is an engineer? Engineer means to invent, create, or to regulate Use math and science to create buildings, bridges and other structures Create safe highways and roads Many different types of engineers Construction, structural,...