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# Polynomials Introduction

Polynomials, Identifying
Published on: Mar 4, 2016
Published in: Education

#### Transcripts - Polynomials Introduction

• 1. Objectives The student 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) 10x3 yz2 monomial 3) not a polynomial 2 5 7 2 y y +
• 5. Which polynomial is represented by X2 1 1 X X X 1. x2 + x + 1 2. x2 + x + 2 3. x2 + 2x + 2 4. x2 + 3x + 2 5. I’ve 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) 5x2 2 2) 4a4 b3 c 8 3) -3 0
• 7. To find the degree of a polynomial, find the largest degree of the terms. 1) 8x2 - 2x + 7 Degrees: 2 1 0 Which is biggest? 2 is the degree! 2) y7 + 6y4 + 3x4 m4 Degrees: 7 4 8 8 is the degree!
• 8. Find the degree of x5 – x3 y2 + 4 1. 0 2. 2 3. 3 4. 5 5. 10
• 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: “Standard Form” 1) 8x - 3x2 + x4 - 4 x4 - 3x2 + 8x - 4 2) Put in descending order in terms of x: 12x2 y3 - 6x3 y2 + 3y - 2x -6x3 y2 + 12x2 y3 - 2x + 3y
• 11. 3) Put in ascending order in terms of y: 12x2 y3 - 6x3 y2 + 3y - 2x -2x + 3y - 6x3 y2 + 12x2 y3 4) Put in ascending order: 5a3 - 3 + 2a - a2 -3 + 2a - a2 + 5a3
• 12. Write in ascending order in terms of y: x4 – x3 y2 + 4xy –2x2 y3 1. x4 + 4xy– x3 y2 –2x2 y3 2. –2x2 y3 – x3 y2 + 4xy + x4 3. x4 – x3 y2 –2x2 y3 + 4xy 4. 4xy –2x2 y3 – x3 y2 + x4
• 13. LEADING COEFFICIENT • Leading Coefficient- the coefficient that is in FRONT of the term that has the HIGHEST DEGREE Ex: 3x – 4y2 The lead coefficient is -4