5.7 Completing the Square Ch. 6 Notes Page 38 P38 6.1: Polynomial Functions.

Slides:

Advertisements

Similar presentations

MODELING ADDITION OF POLYNOMIALS

Advertisements

Polynomials. A polynomial is a monomial or a sum of monomials. Binomial: sum of two monomials Trinomial: sum of three monomials.

6-1 Polynomial Functions. Objectives Exploring Polynomial Functions Modeling Data with a Polynomial Function.

EXAMPLE 1 Identify polynomial functions 4 Decide whether the function is a polynomial function. If so, write it in standard form and state its degree,

EXAMPLE 1 Identify polynomial functions

Advanced Algebra II Notes 7.1 Polynomial Degree and Finite Differences

Evaluate and Graph Polynomial Functions Section 2.2 How do you identify and evaluate polynomial functions? What is synthetic substitution? How do you graph.

6.1 Polynomial Functions.

Objective 9.1 Students will be able to: classify polynomials and write polynomials in standard form; evaluate polynomial expressions; add and subtract.

Degree The largest exponent Standard Form Descending order according to exponents.

6-1 Polynomial Functions Classifying polynomials.

8-1 Adding and Subtracting Polynomials. Degree of a monomial: is the sum of the exponents of its variables. The degree of a nonzero constant is 0. Zero.

EQ – what is a polynomial, and how can I tell if a term is one?

CLASSIFYING POLYNOMIALS. A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______.

Algebra 10.1 Adding and Subtracting Polynomials. Intro Polynomial-the sum of terms in the form ax k where k is a nonnegative integer. A polynomial is.

Solving polynomial equations

7.1 Polynomial Functions Evaluate Polynomials

UNIT 2, LESSON 1 POLYNOMIAL FUNCTIONS. WHAT IS A POLYNOMIAL FUNCTION? Coefficients must be real numbers. Exponents must be whole numbers.

POLYNOMIAL Function: A polynomial is the monomial or the sum of monomials with all exponents as whole numbers and coefficients are all real numbers. Ex-

Ch. 6.1 Polynomial Functions

Apply polynomial models to real- world situations by fitting data to linear, quadratic, cubic, or quartic models.

Bell Work3/23/2015 Simplify. Polynomials 1/31/2016 Heading Today we will find the degree and classify polynomials in Standard Form. Also identify the.

2.1 Evaluate and Graph Polynomial Functions Objectives: Identify, evaluate, add, and subtract polynomials Classify polynomials, and describe the shapes.

1 Algebra 2: Section 6.2 Evaluating and Graphing Polynomial Functions (Day 1)

7.1 Polynomial Functions Objectives: 1.Evaluate polynomial functions. 2.Identify general shapes of graphs of polynomial function.

Advanced Algebra Notes Section 5.2: Evaluate and Graph Polynomial Functions A __________________ is a number, a variable, or the product of numbers and.

8.1 adding and subtracting polynomials Day 1. Monomial “one term” Degree of a monomial: sum of the exponents of its variables. Zero has no degree. a.

Section 6-1 Polynomial Functions. Polynomial Function  P(x) = 2x 3 – 5x 2 –2x+5  This is standard form. The exponent in a term determines the degree.

Algebra 2 Lesson Polynomial Functions pg 306.

Evaluate the following functions with the given value.

Lesson 7.1 Adding and subtracting polynomials

2.1 Classifying Polynomials

8-1 Adding and subtracting Polynomials

Polynomial Equations and Factoring

Introduction to Polynomial Functions

Let’s Begin!!! .

Algebra 1 Section 10.1 Add and subtract polynomials

Aim: How do we multiply polynomials?

Do Now: Evaluate the function for the given value of x.

Chapter 8: Polynomials and Factoring

Algebra II with Trigonometry Ms. Lee

Objectives Classify polynomials and write polynomials in standard form. Evaluate polynomial expressions.

Warm-Up #23 (Monday, 10/26) Simplify (x+2)(3x – 4)

Let’s Begin!!! .

4.8 Modeling Real-World Data with Polynomial Functions

9.1 Add and Subtract Polynomials

Let’s Begin!!! .

Evaluate Polynomial Functions

1. Use the quadratic formula to find all real zeros of the second-degree polynomial

Notes Over 10.1 Polynomial Vocabulary Degree is 1 Degree is 4

MODELING ADDITION OF POLYNOMIALS

Academy Algebra II 5.2: Evaluate and Graph Polynomial Functions

CLASSIFYING POLYNOMIALS

Polynomial Vocabulary and Adding & Subtracting Polynomials

Chapter 2 notes from powerpoints

Objectives Classify polynomials and write polynomials in standard form. Evaluate polynomial expressions.

Let’s Begin!!! .

CLASSIFYING POLYNOMIALS

Let’s Review Functions

Evaluate and Graph Polynomial Functions

5.2B Graphing Polynomial Functions

10.1 add/subtract polynomials

Let’s Begin!!! .

Let’s Begin!!! .

Let’s Begin!!! .

Evaluate the expression when x = –4

CLASSIFYING POLYNOMIAL

Classifying Polynomials

Presentation transcript:

5.7 Completing the Square Ch. 6 Notes Page 38 P38 6.1: Polynomial Functions

Polynomial Functions Polynomial Function: where n is a nonnegative integer and a n,…,a 0 are real numbers. Degree: the exponent of a variable Standard Form of a Polynomial: Terms in descending order by degree Degree of a Polynomial: The largest degree of any term in the polynomial ***The degree of a polynomial tells us how many zeros the function has!!!

Classifying Polynomials

Write each polynomial in standard form. Then classify by degree, name and number of terms.

Simplify. Classify each result by the number of terms. *When multiplying like bases, add the exponents. Classifying Polynomials

Comparing Models Using a calculator, determine whether a linear, quadratic, or cubic function would best fit the values in the table. **We will need to plot the points and the function on the calc! x y

Real Life The table shows gold production for several years. Find a quartic function to model the data. Use it to estimate production of gold in Year Production (millions of ounces)

5.7 Completing the Square 6.1: Polynomial Functions HW #35 6.1: P309 #1, 3, 4, 6, 13, 14, 18, 22, 39, 40, 46, 48