PPT-7.5 Polynomials & 7.6 Adding and Subtracting Polynomial

Classify polynomials and write polynomials in standard form Evaluate polynomial expressions Add and subtract polynomials Objectives monomial degree of a monomial polynomial degree of a polynomial. Goal: To simplify polynomial expressions by adding or subtracting. Standard: . 9.2.3.2 – Add, subtract and multiply polynomials; divide a polynomial by a polynomial of equal or lower degree.. Guiding Question: How do I simplify polynomials expressions? AND how do I add or subtract polynomials expressions?. Rational Expressions. Adding & Subtracting . Rational Expressions . with the Same Denominators. Finding the LCD of 2 or more Polynomial Denominators. Adjusting . Opposite Factors . in Denominators. E. xamples . on: Adding and Multiplying Polynomials. By: Sarah Santamaria. Teacher: Mr. Miguel. Class: Algebra 2. MT 2 Level 4 . What are Polynomials?. Polynomial: Expression of more than two algebraic terms that contain . Chapter 6. Polynomial Functions. Polynomial Functions. A polynomial is a monomial or the sum of monomials.. A Polynomial Function:. P(x) = . a. n. x. n. + a. n-1. x. n-1 . + … + a. 1. x + a. 0. Where n is a nonnegative integer and the coefficients a. Algebra II with . Trigonometry. Ms. Lee. Essential Question. What is a polynomial?. How do we describe its end behavior?. How do we add/subtract polynomials?. Essential Vocabulary. Polynomial . Degree. 04/20/17. How do we use models to add and subtract integers?. How do we add or subtract integers without models?. Today We’ll Discuss. One of the main reasons for having negative numbers is that they give us . Soup – . er. mathematics. Adding integers. Option 1 . (SAME SIGN). . Add and take the sign of the bigger number.. Option 2. (DIFFERENT SIGNS). . Subtract and take the sign of the bigger number. Polynomials. Monomials in one variable. The product of a constant and a variable raised to a nonnegative integer power.. 2x. 4. 2 is the coefficient degree is 4. What does it mean to be raised to a nonnegative integer power?. Definitions. Coefficient. : the numerical factor of each term.. Constant. : the term without a variable.. Term. : a number or a product of a number and variables raised . to a power.. Polynomial. : a finite sum of terms of the form . Section 2.4. Terms. Divisor: . Quotient: . Remainder:. Dividend: . PF. FF .  . Long Division. Use long division to find . divided by . ..  . Division Algorithm for Polynomials. Let . and . be polynomials with the degree of . Standard 15. Graph and analyze polynomial and radical functions to determine:. Domain and range. X and y intercepts. Maximum and minimum values. Intervals of increasing and decreasing. End behavior. With the function: f(x) = . Multiplying Polynomials. Dominos. Dividing Polynomials. using Long Division and Synthetic Division. Birthday. Polynomial Poster. Characteristics. of Polynomials. Complete. the Chart. Characteristics of Polynomials. Plot both x & y intercepts to graph.. A-APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, multiplication and division.. Algebra 2. Chapter 4. This Slideshow was developed to accompany the textbook. Big Ideas Algebra 2. By Larson, R., Boswell. 2022 K12 (National Geographic/Cengage). Some examples and diagrams are taken from the textbook..