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Polynomials By the end of class, you will be able to: 1. find the degree of a polynomial. 2. arrange the terms of a polynomial in ascending or descending.

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Presentation on theme: "Polynomials By the end of class, you will be able to: 1. find the degree of a polynomial. 2. arrange the terms of a polynomial in ascending or descending."— Presentation transcript:

1 Polynomials By the end of class, you will be able to: 1. find the degree of a polynomial. 2. arrange the terms of a polynomial in ascending or descending order.

2 What does each prefix mean? mono one bi two tri three

3 What about poly? one or more A polynomial is a monomial or a sum/difference of monomials. Important Note!! An expression is not a polynomial if there is a variable in the denominator.

4 State whether each expression is a polynomial. If it is, identify it. 1) 7y - 3x + 4 trinomial 2) 10x 3 yz 2 monomial 3) not a polynomial

5 Which polynomial is represented by X2X2 1 1 X X X 1.x 2 + x x 2 + x x 2 + 2x x 2 + 3x Ive got no idea!

6 The degree of a monomial is the sum of the exponents of the variables. Find the degree of each monomial. 1) 5x 2 2 2)4a 4 b 3 c 8 3)-3 0

7 To find the degree of a polynomial, find the largest degree of the terms. 1) 8x 2 - 2x + 7 Degrees: Which is biggest? 2 is the degree! 2) y 7 + 6y 4 + 3x 4 m 4 Degrees: is the degree!

8 Find the degree of x 5 – x 3 y

9 A polynomial is normally put in ascending or descending order. What is ascending order? Going from small to big exponents. What is descending order? Going from big to small exponents.

10 Put in descending order: 1)8x - 3x 2 + x x 4 - 3x 2 + 8x - 4 2) Put in descending order in terms of x: 12x 2 y 3 - 6x 3 y 2 + 3y - 2x -6x 3 y x 2 y 3 - 2x + 3y

11 3) Put in ascending order in terms of y: 12x 2 y 3 - 6x 3 y 2 + 3y - 2x -2x + 3y - 6x 3 y x 2 y 3 4)Put in ascending order: 5a a - a a - a 2 + 5a 3

12 Write in ascending order in terms of y: x 4 – x 3 y 2 + 4xy – 2x 2 y 3 1.x 4 + 4xy – x 3 y 2 – 2x 2 y 3 2.– 2x 2 y 3 – x 3 y 2 + 4xy + x 4 3.x 4 – x 3 y 2 – 2x 2 y 3 + 4xy 4.4xy – 2x 2 y 3 – x 3 y 2 + x 4


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