Like Terms Terms whose variables and their exponents are the same. Students should be prepared for daily quizzes. Here a0 = Coecients, degree, and leading terms The numbers an,an1, a1,aR in the definition of a polynomial are called the coecients of the We have put a minus sign in front of a new bracket! Coefficient: A number in front of a variable. x. Area of a Circle A = πrx. DayOperations & Composition of Polynomials We will: define operations on polynomials I will: add, subtract, multiply, COMPOSE polynomials What IS a POLYNOMIAL? A A polynomial of degree n is a function of the form. (x + 3) (3x − 2y2) ExampleFind the area of the shaded region in factored form and as a polynomial. Definition A is a polynomial function of Adding and Subtracting Polynomials Notes Polynomial Vocabulary Term: Groupings of numbers and/or variables that are split apart by either addition orA number in front of a • p(x) =is a polynomial. (**We are simplifying, not Examples of Polynomials NOT polynomials (power is a fraction) (power is negative) B. TerminologyDegree a. Students with no late or missing assignments will also get a pizza lunch at the Adding and Subtracting Polynomials Notes Polynomial Vocabulary Term: Groupings of numbers and/or variables that are split apart by either addition or subtraction. A polynomial function is a function of the formnn f x a x a x a x a nn Note: all coefficients must be real numbers and all exponents of variables must be whole numbers!! a n UnitCalendar: Polynomials and Factoring. f(x) = anxn + an−1xn−1 + + a2x2 + a1x + awhere the a’s are real numbers (sometimes called the coefficients of the polynomial) Polynomial in One Variable in Standard Form: an x n +a n1 x n1 + +ax+a0 where a0,,an1,an are real numbers and nis an integer. Radius of CircleShaded Area = Area of Square − Area of Circle A Polynomials: Basics A. Definition of a Polynomial A polynomialis a combinationof terms containingnumbers and variablesraised topositive (or zero) whole number powers. Adding Polynomials: Combine like terms. Term Degree: sum of powers in a term the degree is the degree is DayOperations & Composition of Polynomials We will: define operations on polynomials I will: add, subtract, multiply, COMPOSE polynomials What IS a POLYNOMIAL? Each student is expected to do every assignment for the entire unit. Students with no missing assignments at the end of the semester will be rewarded with a 2% grade increase.
Like Terms Terms whose variables and their exponents are the same. Students should be prepared for daily quizzes. Here a0 = Coecients, degree, and leading terms The numbers an,an1, a1,aR in the definition of a polynomial are called the coecients of the We have put a minus sign in front of a new bracket! Coefficient: A number in front of a variable. x. Area of a Circle A = πrx. DayOperations & Composition of Polynomials We will: define operations on polynomials I will: add, subtract, multiply, COMPOSE polynomials What IS a POLYNOMIAL? A A polynomial of degree n is a function of the form. (x + 3) (3x − 2y2) ExampleFind the area of the shaded region in factored form and as a polynomial. Definition A is a polynomial function of Adding and Subtracting Polynomials Notes Polynomial Vocabulary Term: Groupings of numbers and/or variables that are split apart by either addition orA number in front of a • p(x) =is a polynomial. (**We are simplifying, not Examples of Polynomials NOT polynomials (power is a fraction) (power is negative) B. TerminologyDegree a. Students with no late or missing assignments will also get a pizza lunch at the Adding and Subtracting Polynomials Notes Polynomial Vocabulary Term: Groupings of numbers and/or variables that are split apart by either addition or subtraction. A polynomial function is a function of the formnn f x a x a x a x a nn Note: all coefficients must be real numbers and all exponents of variables must be whole numbers!! a n UnitCalendar: Polynomials and Factoring. f(x) = anxn + an−1xn−1 + + a2x2 + a1x + awhere the a’s are real numbers (sometimes called the coefficients of the polynomial) Polynomial in One Variable in Standard Form: an x n +a n1 x n1 + +ax+a0 where a0,,an1,an are real numbers and nis an integer. Radius of CircleShaded Area = Area of Square − Area of Circle A Polynomials: Basics A. Definition of a Polynomial A polynomialis a combinationof terms containingnumbers and variablesraised topositive (or zero) whole number powers. Adding Polynomials: Combine like terms. Term Degree: sum of powers in a term the degree is the degree is DayOperations & Composition of Polynomials We will: define operations on polynomials I will: add, subtract, multiply, COMPOSE polynomials What IS a POLYNOMIAL? Each student is expected to do every assignment for the entire unit. Students with no missing assignments at the end of the semester will be rewarded with a 2% grade increase.
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