Presentation is loading. Please wait.

Presentation is loading. Please wait.

HIGH SCHOOL: Algebra Perform arithmetic operations on polynomials. A-APR.1. Understand that polynomials form a system analogous to the integers, namely,

Published byCoral Fay Campbell Modified over 8 years ago

Similar presentations

Presentation on theme: "HIGH SCHOOL: Algebra Perform arithmetic operations on polynomials. A-APR.1. Understand that polynomials form a system analogous to the integers, namely,"— Presentation transcript:

1

2 HIGH SCHOOL: Algebra Perform arithmetic operations on polynomials. A-APR.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

3 Understand the relationship between zeros and factors of polynomials. A-APR.2. Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x). A-APR.3. Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

4

5

Download ppt "HIGH SCHOOL: Algebra Perform arithmetic operations on polynomials. A-APR.1. Understand that polynomials form a system analogous to the integers, namely,"

Similar presentations

5-4 Dividing Polynomials Long Division Today’s Objective: I can divide polynomials.

5-4 Dividing Polynomials Long Division Today’s Objective: I can divide polynomials.
200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Simplifying Fractions Multiplying & dividing Fractions.

Simplifying Fractions Multiplying & dividing Fractions.
Copyright © 2007 Pearson Education, Inc. Slide 3-1.

Copyright © 2007 Pearson Education, Inc. Slide 3-1.
Warm Up. B UILDING, U NDERSTANDING AND S IMPLIFYING R ATIONAL E XPRESSIONS.

Warm Up. B UILDING, U NDERSTANDING AND S IMPLIFYING R ATIONAL E XPRESSIONS.
2010 New Math Standards. Mathematical Practices 1. Attend to precision 2. Construct viable arguments and critique the reasoning of others 3. Make sense.

2010 New Math Standards. Mathematical Practices 1. Attend to precision 2. Construct viable arguments and critique the reasoning of others 3. Make sense.
ALGEBRA 1 Operations with Integers

ALGEBRA 1 Operations with Integers
Remainder and Factor Theorem Unit 11. Definitions Roots and Zeros: The real number, r, is a zero of f(x) iff: 1.) r is a solution, or root of f(x)=0 2.)

Remainder and Factor Theorem Unit 11. Definitions Roots and Zeros: The real number, r, is a zero of f(x) iff: 1.) r is a solution, or root of f(x)=0 2.)
Section 5.6 – Complex Zeros; Fundamental Theorem of Algebra Complex Numbers Standard form of a complex number is: a + bi. Every complex polynomial function.

Section 5.6 – Complex Zeros; Fundamental Theorem of Algebra Complex Numbers Standard form of a complex number is: a + bi. Every complex polynomial function.
Algebra Seeing Structure in Expressions Arithmetic with Polynomials and Rational Expressions Creating Equations Reasoning with Equations and Inequalities.

Algebra Seeing Structure in Expressions Arithmetic with Polynomials and Rational Expressions Creating Equations Reasoning with Equations and Inequalities.
The Rational Zero Theorem The Rational Zero Theorem gives a list of possible rational zeros of a polynomial function. Equivalently, the theorem gives all.

The Rational Zero Theorem The Rational Zero Theorem gives a list of possible rational zeros of a polynomial function. Equivalently, the theorem gives all.
Complex Zeros; Fundamental Theorem of Algebra

Complex Zeros; Fundamental Theorem of Algebra
Dividing Polynomials 3

Dividing Polynomials 3
6.8 Synthetic Division. Polynomial Division, Factors, and Remainders In this section, we will look at two methods to divide polynomials: long division.

6.8 Synthetic Division. Polynomial Division, Factors, and Remainders In this section, we will look at two methods to divide polynomials: long division.
Factor Theorem & Rational Root Theorem

Factor Theorem & Rational Root Theorem
I am greater than my square. The sum of numerator and denominator is 5 What fraction am I?

I am greater than my square. The sum of numerator and denominator is 5 What fraction am I?
Polynomial Division and the Remainder Theorem Section 9.4.

Polynomial Division and the Remainder Theorem Section 9.4.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.
3.2a Multiply a monomial and a polynomial. A-APR.6 Rewrite simple rational expressions in different forms; write a(x) ⁄ b(x) in the form q(x) + r(x) ⁄

3.2a Multiply a monomial and a polynomial. A-APR.6 Rewrite simple rational expressions in different forms; write a(x) ⁄ b(x) in the form q(x) + r(x) ⁄
9-12.A.APR.1 UNDERSTAND THAT POLYNOMIALS FORM A SYSTEM ANALOGOUS TO THE INTEGERS, NAMELY, THEY ARE CLOSED UNDER THE OPERATIONS OF ADDITION, SUBTRACTION,

9-12.A.APR.1 UNDERSTAND THAT POLYNOMIALS FORM A SYSTEM ANALOGOUS TO THE INTEGERS, NAMELY, THEY ARE CLOSED UNDER THE OPERATIONS OF ADDITION, SUBTRACTION,
Chapter 8.1 Common Core – A.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of.

Chapter 8.1 Common Core – A.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of.

Similar presentations

Ads by Google