Warm up .

Slides:

Advertisements

Similar presentations

Chapter 6 Polynomials.

Advertisements

Laws of Exponents: Dividing Monomials Division Rules for Exponents.

Monomials An expression that is either a number, a variable, or a product of numerals and variables with whole number exponents.

Objectives The student will be able to: 1. multiply a monomial and a polynomial. SOL: A.2b Designed by Skip Tyler, Varina High School.

10.1 – Exponents Notation that represents repeated multiplication of the same factor. where a is the base (or factor) and n is the exponent. Examples:

EXAMPLE 6 Simplify expressions involving variables

Simplify Warm Up. Section 8-1 A. CLASSIFYING POLYNOMIALS.

Multiplying and Factoring Module VII, Lesson 2 Online Algebra

Using Properties of Exponents

Simplify Warm Up. Classifying Polynomials Section 8-1.

Dividing Monomials: The Quotient Rule and Integer Exponents.

Exponent Rules and Dividing Polynomials Divide exponential forms with the same base. 2.Divide numbers in scientific notation. 3. Divide monomials.

10-6 Dividing Polynomials Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.

California Standards AF2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results.

Evaluating Algebraic Expressions 4-4 Multiplying and Dividing Monomials Math humor: Question: what has variables with whole-number exponents and a bunch.

6.2 Warm-up Simplify the expression ∙

Exploring Polynomials & Radical Expressions

Polynomials. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with.

12-6 Dividing Polynomials Warm Up Lesson Presentation Lesson Quiz

Use properties of radicals

Multiplying by a Monomial Be able to multiply two monomials or a monomial and a polynomial.

Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x ) -(x – 6) Simplify each expression. 4) (x + 5)

Chapter 5.1/5.2 Monomials and Polynomials. Vocabulary: A monomial is an expression that is a number, a variable, or the product of a number and one or.

7-1 Integer Exponents 7-2 Powers of 10 and Scientific Notation 7-3 Multiplication Properties of Exponents 7-4 Division Properties of Exponents 7-5 Fractional.

Chapter 6 Lesson 2 Operations with Polynomials Vocabulary  Degree of a Polynomial- The greatest degree of any term in the polynomial.

Holt McDougal Algebra Factoring by GCF Warm Up 1. 2(w + 1) 2. 3x(x 2 – 4) 2w + 2 3x 3 – 12x 2h2h Simplify. 13p Find the GCF of each pair of monomials.

Monomials An expression that is either a number, a variable, or a product of numerals and variables with whole number exponents.

1 Chapter 5, Section 1 Monomials. 2 Monomials defined A monomial is a number, a variable, or the product of numbers and variables. The variables cannot.

Exponents and Monomials. Monomial is an expression that is a number, a variable, or a product of a number and variables. Constant is a monomial containing.

Splash Screen. Then/Now You multiplied monomials. Find the quotient of two monomials. Simplify expressions containing negative and zero exponents.

Section 3.1 Basic Exponent Laws Objective:

Properties of Exponents

Module 1 Day 3 Power Properties.

Distributive Property Multiply and Divide polynomials by a constant worksheet.

Warm-up: Add 6 sticks to make 10. No breaking!

Tuesday June 17: Laws of Exponents

Intro to Algebra Farris 2015

Exponents and Monomials

Exponents and Polynomials

Dividing Monomials: The Quotient Rule and Integer Exponents

Aim: How do we handle fractional exponents?

Properties of Exponents

Properties of Rational Exponents

Properties of Exponents

13 Exponents and Polynomials.

EXPONENTIAL PROPERTIES

Exponents and Monomials Lesson

Multiplying Monomials and Raising Monomials to Powers

Exponents and Monomials

Dividing Monomials Chapter 5 Section 5.2.

Multiplying Monomials and Raising Monomials to Powers

Understanding polynomials

Review of Properties of Exponents from section 6.1

TO MULTIPLY POWERS HAVING THE SAME BASE

SECTION 7-3 : MORE MULTIPLICATION PROPERTIES of EXPONENTS

Objectives Identify, evaluate, add, and subtract polynomials.

Objective Factor polynomials by using the greatest common factor.

ALGEBRA II HONORS/GIFTED - SECTION 6-1 (Roots and Radical Expressions)

Algebra Week of 4/4/11 Day 1.

Exponents and Monomials

Objective Factor polynomials by using the greatest common factor.

Algebra 2 Ch.7 Notes Page 49 P Rational Exponents.

Warm-up: Simplify |2x – 4| + 3 Homework : pg. 23 (6, 8, 10, 16)

Division Rules for Exponents

Exponents and Monomials

6.2A Apply Properties of Rational Exponents

Integer Exponents 2.1.

Matho083 Bianco Warm Up Multiply: 1) (x2) (x3) 2) (3x2) (4x3)

SECTION 7-4 : MORE MULTIPLICATION and DIVISION PROPERTIES of EXPONENTS

Presentation transcript:

Warm up

Operations with polynomials 5.1

Product of Powers Property: am an = am+n Examples: 1. x7x5 2. w5w 3. n12n20

Power of a Power Property: (am)n = amn Examples: 1. (a5)3 2. (h6h3)2 3. ((q3)2)4

Power of a Product Property: (ab)m = ambm Examples: 1. (xy)3 2. (a2b)4 3. (2pq3)7

Negative Exponent Property: Examples: 1. 2. 3.

Quotient of Powers Property: Examples: 1. 2.

Zero Exponent Property: a0 = 1 Examples: 1.x0 2. 40 3. 3x0 4. (3x)0 5. 30x

Power of a Quotient Property: Examples: 1. 2. 3.

When are you done simplifying?

The trick is to put all 7 laws together.

The trick is to put all 7 laws together.

Polynomials All the coefficients are real numbers (not imaginary) Exponents are whole numbers (positive integers) NO variables in the denominator NO radicals of variables The degree of the polynomial is the degree of the monomial with the greatest degree.

Examples: Answer these questions for the following functions.

Examples: Simplify the polynomial. 1. (4x2 – 9x + 3) + (–2x2 – 5x – 6) 2. (2a3 + 5a – 7) – (a3 – 3a + 2)

Examples: Simplify the polynomial. 3. –y3(4y2 + 2y – 3) 4. (2x + 1) (4x2 + x – 5)

Examples: Simplify the polynomial.

Examples: Simplify the polynomial.