Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of...

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Polynomials By Jonathan Gamble

Transcript of Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of...

Page 1: Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of monomials Types of Polynomials Binomial- the sum of two.

PolynomialsBy Jonathan Gamble

Page 2: Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of monomials Types of Polynomials Binomial- the sum of two.

Polynomial Vocabulary!!!!

Polynomial – a monomial or the sum of monomials

Types of Polynomials

• Binomial- the sum of two monomials

• Trinomial – the sum of three monomials

Page 3: Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of monomials Types of Polynomials Binomial- the sum of two.

Examples

State whether the following is a polynomial and if it is identify the type.

Expression Polynomial? Monomial, Binomial, or Trinomial?

2x-3yz Yes Binomial

8n3+5n-2 No None of these

-8 Yes Monomial

4a2+5a+a+9 Yes Trinomial

Page 4: Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of monomials Types of Polynomials Binomial- the sum of two.

Application!

Write a polynomial to represent the area of the red region.

3x

2x

6x

4x

What is this area?

Red Area4x(6x)24x2

What is this area?

Grey Area3x(2x)6x2

What is my final answer?!

24x2 - 6x2

=

18x2

Page 5: Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of monomials Types of Polynomials Binomial- the sum of two.

Degree of a Monomial

Degree of a Monomial – the sum of the exponents of all of its variables

Examples!

Monomial Degree

8y4

3a

-2xy2z3

7

4

1

1+2+3 or 6

0

Page 6: Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of monomials Types of Polynomials Binomial- the sum of two.

Degree of a Polynomial

Degree of a Polynomial – the greatest degree of any term in the polynomial

Examples!

Polynomial Degree of each term

Degree of Polynomial

5mn2

-4x2y2+3x2+5

3a+7ab-2a2b+16

3 3

4,2,0 4

1,2,3,0 3


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